The correct option is A 2 (√(180)×√(4)/√(81)) ((27×4)^(1/4)× #10;2^(2/6)/(3^4)^(1/4))) =(3× 2^(2/3) #10;× 2^(1/3)/3) = 2^(2/3)+(1/3) ...

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(a + b)^2 Expansion and Visualisation

Find: √108×√...

Question

Find: $\frac{\sqrt[3]{108} \times \sqrt[6]{4}}{\sqrt[4]{81}}$

2

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\frac{\sqrt[6]{4}}{\sqrt[2]{3}}

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\sqrt[4]{6}

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\frac{\sqrt[4]{2}}{\sqrt[2]{3}}

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Solution

The correct option is A $2$
$(\frac{\sqrt[3]{180} \times \sqrt[6]{4}}{\sqrt[4]{81}}) ((\frac{27 \times 4)^{(\frac{1}{4})} \times 2^{(\frac{2}{6})}}{(3^{4})^{(\frac{1}{4})}})) = (\frac{3 \times 2^{(\frac{2}{3})} \times 2^{(\frac{1}{3})}}{3}) = 2^{(\frac{2}{3}) + (\frac{1}{3})} = 2$

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Find:3√108×6√44√81

The correct option is A 2(3√180×6√44√81)((27×4)(14)×2(26)(34)(14)))=(3×2(23)×2(13)3)=2(23)+(13)=2

Find: $\frac{\sqrt[3]{108} \times \sqrt[6]{4}}{\sqrt[4]{81}}$

The correct option is A $2$
$(\frac{\sqrt[3]{180} \times \sqrt[6]{4}}{\sqrt[4]{81}}) ((\frac{27 \times 4)^{(\frac{1}{4})} \times 2^{(\frac{2}{6})}}{(3^{4})^{(\frac{1}{4})}})) = (\frac{3 \times 2^{(\frac{2}{3})} \times 2^{(\frac{1}{3})}}{3}) = 2^{(\frac{2}{3}) + (\frac{1}{3})} = 2$