Answer Key 9.4
- [latex]12\sqrt{5\cdot 16}[/latex]
[latex]12\cdot 4 \sqrt{5}[/latex]
[latex]48\sqrt{5}[/latex] - [latex]-5\sqrt{10\cdot 15}[/latex]
[latex]-5\sqrt{150}[/latex]
[latex]-5\sqrt{25\cdot 6}\Rightarrow -25\sqrt{6}[/latex] - [latex]\sqrt{15\cdot 12\cdot m^2}[/latex]
[latex]\sqrt{3\cdot 5\cdot 3\cdot 4\cdot m^2}[/latex]
[latex]3\cdot 2m\sqrt{5}[/latex]
[latex]6m\sqrt{5}[/latex] - [latex]-5\sqrt{5r^3\cdot 10r^2}[/latex]
[latex]-5\sqrt{25\cdot 2\cdot r^4\cdot r}[/latex]
[latex]-25r^2\sqrt{2r}[/latex] - [latex]\sqrt[3]{8x^7}[/latex]
[latex]\sqrt[3]{8\cdot x^6\cdot x}[/latex]
[latex]2x^2 \sqrt[3]{x}[/latex] - [latex]3 \sqrt[3]{40a^7}[/latex]
[latex]3 \sqrt[3]{5\cdot 8\cdot a^6\cdot a}[/latex]
[latex]3\cdot 2a^2 \sqrt[3]{5a}\Rightarrow 6a^2 \sqrt[3]{5a}[/latex] - [latex]\sqrt{12}+2\sqrt{6}[/latex]
[latex]\sqrt{4\cdot 3}+2\sqrt{6}[/latex]
[latex]2\sqrt{3}+2\sqrt{6}[/latex] - [latex]\sqrt{50}+\sqrt{20}[/latex]
[latex]\sqrt{25\cdot 2}+\sqrt{4\cdot 5}[/latex]
[latex]5\sqrt{2}+2\sqrt{5}[/latex] - [latex]-15\sqrt{45}-10\sqrt{15}[/latex]
[latex]-15\sqrt{9\cdot 5}-10\sqrt{15}[/latex]
[latex]-15\cdot 3\sqrt{5}-10\sqrt{15}[/latex]
[latex]-45\sqrt{5}-10\sqrt{15}[/latex] - [latex]15\sqrt{45}+10\sqrt{15}[/latex]
[latex]15\sqrt{9\cdot 5}+10\sqrt{15}[/latex]
[latex]15\cdot 3\sqrt{5}+10\sqrt{15}[/latex]
[latex]45\sqrt{5}+10\sqrt{15}[/latex] - [latex]25n\sqrt{10}+5\sqrt{20}[/latex]
[latex]25n\sqrt{10}+5\sqrt{4\cdot 5}[/latex]
[latex]25n\sqrt{10}+10\sqrt{5}[/latex] - [latex]\sqrt{75}-3\sqrt{45v}[/latex]
[latex]\sqrt{25\cdot 3}-3\sqrt{9\cdot 5v}[/latex]
[latex]5\sqrt{3}-9\sqrt{5v}[/latex] - [latex]-6+2\sqrt{2}-6\sqrt{2}+2(\sqrt{2})(\sqrt{2})[/latex]
[latex]-6+2\sqrt{2}-6\sqrt{2}+2(2)[/latex]
[latex]-6+4+2\sqrt{2}-6\sqrt{2}[/latex]
[latex]-2-4\sqrt{2}[/latex] - [latex]10-4\sqrt{3}-5\sqrt{3}+2(\sqrt{3})(\sqrt{3})[/latex]
[latex]10-4\sqrt{3}-5\sqrt{3}+2(3)[/latex]
[latex]10+6-4\sqrt{3}-5\sqrt{3}[/latex]
[latex]16-9\sqrt{3}[/latex] - [latex](2\sqrt{5})(\sqrt{5})-\sqrt{5}-10\sqrt{5}+5[/latex]
[latex]2(5)-\sqrt{5}-10\sqrt{5}+5[/latex]
[latex]10+5-\sqrt{5}-10\sqrt{5}[/latex]
[latex]15-11\sqrt{5}[/latex] - [latex]10(3)+4\sqrt{12}+5\sqrt{15}+2\sqrt{20}[/latex]
[latex]30+4\sqrt{4\cdot 3}+5\sqrt{15}+2\sqrt{5\cdot 4}[/latex]
[latex]30+5\sqrt{15}+8\sqrt{3}+4\sqrt{5}[/latex] - [latex]3(2a)+6\sqrt{6a^2}+\sqrt{10a^2}+2\sqrt{15a^2}[/latex]
[latex]6a+6a\sqrt{6}+a\sqrt{10}+2a\sqrt{15}[/latex] - [latex](-2\sqrt{2p}+5\sqrt{5})(2\sqrt{5p})[/latex]
[latex]-4\sqrt{10p^2}+10\sqrt{25p}[/latex]
[latex]-4p\sqrt{10}+50\sqrt{p}[/latex] - [latex]15+12\sqrt{3}+20\sqrt{3}+16(3)[/latex]
[latex]63+32\sqrt{3}[/latex] - [latex]-5\sqrt{4m}+\sqrt{2m}+25\sqrt{2}-5[/latex]
[latex]-10\sqrt{m}+\sqrt{2m}+25\sqrt{2}-5[/latex] - [latex]\dfrac{\sqrt{12}}{5\sqrt{100}}\div \sqrt{4}[/latex]
[latex]\phantom{a}[/latex]
[latex]\dfrac{\sqrt{3}}{5\sqrt{25}}\Rightarrow \dfrac{\sqrt{3}}{5\cdot 5}\Rightarrow \dfrac{\sqrt{3}}{25}[/latex] - [latex]\dfrac{\sqrt{15}}{2\cdot 2}\Rightarrow \dfrac{\sqrt{15}}{4}[/latex]
- [latex]\dfrac{\sqrt{5}}{4\sqrt{125}}\div \sqrt{5}[/latex]
[latex]\phantom{a}[/latex]
[latex]\dfrac{\sqrt{1}}{4\sqrt{25}}\Rightarrow \dfrac{1}{4\cdot 5}\Rightarrow \dfrac{1}{20}[/latex] - [latex]\dfrac{\sqrt{12}}{\sqrt{3}}\div \sqrt{3}[/latex]
[latex]\phantom{a}[/latex]
[latex]\dfrac{\sqrt{4}}{\sqrt{1}}\Rightarrow \dfrac{2}{1}\Rightarrow 2[/latex] - [latex]\dfrac{\sqrt{10}}{\sqrt{6}}\div \sqrt{2}[/latex]
[latex]\phantom{a}[/latex]
[latex]\dfrac{\sqrt{5}}{\sqrt{3}}[/latex] - Does not reduce
- [latex]\dfrac{5x^2}{4\sqrt{3\cdot x^2\cdot x\cdot y^2\cdot y}}\Rightarrow \dfrac{5x^2}{4xy\sqrt{3xy}}\Rightarrow \dfrac{5x}{4y\sqrt{3xy}}[/latex]
- [latex]\dfrac{4}{5y^2\sqrt{3x}}[/latex]
- [latex]\dfrac{\sqrt{2p^2}}{\sqrt{3p}}\div \sqrt{p}[/latex]
[latex]\phantom{a}[/latex]
[latex]\dfrac{\sqrt{2p}}{\sqrt{3}}[/latex] - [latex]\dfrac{\sqrt{8n^2}}{\sqrt{10n}}\div \sqrt{2n}[/latex]
[latex]\phantom{a}[/latex]
[latex]\dfrac{\sqrt{4n}}{\sqrt{5}}\Rightarrow \dfrac{2\sqrt{n}}{\sqrt{5}}[/latex]
