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=== Multiplication of Roots === <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{9}\times\sqrt{4}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β9Γβ4]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{4}\times\sqrt{9}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β4Γβ9]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{7}\times\sqrt{8}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β7Γβ8]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{5}\times\sqrt{12}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β5Γβ12]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{9}\times\sqrt{36}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β9Γβ36]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle4\sdot\sqrt{9}\times3\sdot\sqrt{36}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: 4β9Γ3β36]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\frac{2}{3}\sdot\sqrt{9}\times\frac{1}{2}\sdot\sqrt{36}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β β9ΓΒ½β36]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle2\times\sqrt{16}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: 2Γβ16]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle4\times\sqrt{9}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: 4Γβ9]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\frac{1}{2}\times\sqrt{9}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: Β½Γβ9]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\frac{1}{3}\times\sqrt{9}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β Γβ9]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\frac{2}{3}\times\sqrt{9}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β Γβ9]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{6}\times3</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β6Γ3]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{7}\times3</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β7Γ3]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{7}\times8</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β7Γ8]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{5}\times\left(\sqrt{7}+4\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β5Γ(β7+4)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{3}\times\left(6-\sqrt{8}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β3Γ(6-β8)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(3+\sqrt{5}\right)\times\left(3+\sqrt{5}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (3+β5)Γ(3+β5)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(5+\sqrt{6}\right)\times\left(5+\sqrt{6}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (5+β6)Γ(5+β6)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(3+\sqrt{5}\right)\times\left(4+\sqrt{7}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (3+β5)Γ(4+β7)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(3+\sqrt{4}\right)\times\left(4+\sqrt{9}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (3+β4)Γ(4+β9)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(3-\sqrt{5}\right)\times\left(4-\sqrt{7}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (3-β5)Γ(4-β7)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(3-\sqrt{5}\right)\times\left(3-\sqrt{5}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (3-β5)Γ(3-β5)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(5+\sqrt{3}\right)\times\left(5-\sqrt{3}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (5+β3)Γ(5-β3)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(3+\sqrt{4}\right)\times\left(5-\sqrt{9}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (3+β4)Γ(5-β9)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{8}\times\left(\sqrt{8}-2\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β8Γ(β8-2)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{8}-2\right)\times\left(\sqrt{10}-3\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β8-2)Γ(β10-3)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{12}-2\right)\times\left(\sqrt{12}-2\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β12-2)Γ(β12-2)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{32}-3\right)\times\left(\sqrt{32}-3\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β32-3)Γ(β32-3)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{15}-3\right)\times\left(\sqrt{12}+2\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β15-3)Γ(β12+2)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{8}+2\right)\times\left(\sqrt{8}-2\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β8+2)Γ(β8-2)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(2\times\sqrt{10}\right)\times\left(\frac{1}{2}\times\sqrt{5}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (2Γβ10)Γ(Β½Γβ5)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{5}\times\left(\sqrt{7}+\sqrt{10}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β5Γ(β7+β10)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{5}\times\left(\sqrt{12}-\sqrt{8}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β5Γ(β12-β8)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{5}+\sqrt{7}\right)\times\left(\sqrt{10}+\sqrt{15}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β5+β7)Γ(β10+β15)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{5}+\sqrt{7}\right)\times\left(\sqrt{5}+\sqrt{7}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β5+β7)Γ(β5+β7)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{5}+\sqrt{7}\right)\times\left(\sqrt{10}-\sqrt{6}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β5+β7)Γ(β10-β6)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{10}+\sqrt{7}\right)\times\left(\sqrt{10}-\sqrt{7}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β10+β7)Γ(β10-β7)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{8}+\sqrt{4}\right)\times\left(\sqrt{8}-\sqrt{4}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β8+β4)Γ(β8-β4)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{48}+\sqrt{10}\right)\times\left(\sqrt{48}-\sqrt{10}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β48+β10)Γ(β48-β10)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{12}-\sqrt{7}\right)\times\left(\sqrt{15}-\sqrt{10}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β12-β7)Γ(β15-β10)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(\sqrt{12}-\sqrt{7}\right)\times\left(\sqrt{12}-\sqrt{7}\right)</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: (β12-β7)Γ(β12-β7)]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle3\times\sqrt{4}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: 3Γβ4]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle3\times\sqrt[3]{8}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: 3ΓΒ³β8]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle3\times\sqrt[3]{5}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: 3ΓΒ³β5]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{4}\times\sqrt[3]{8}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β4ΓΒ³β8]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt{9}\times\sqrt[3]{8}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β9ΓΒ³β8]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt[3]{5}\times\sqrt[3]{6}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: Β³β5ΓΒ³β6]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle2\times\sqrt[4]{5}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: 2Γβ΄β5]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt[3]{8}\times\sqrt[4]{16}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: Β³β8Γβ΄β16]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt[3]{3}\times\sqrt[4]{4}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: Β³β3Γβ΄β4]] }}</div></div> <br> <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\sqrt[4]{4}\times\sqrt[4]{7}</math><div class="mw-collapsible-content"> {{#annotask: [[category: #multiplication of roots]] [[comment: β΄β4Γβ΄β7]] }}</div></div> <br>
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