How do you simplify $\sqrt[4]{729}$ $root4(729)$ ?

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How do you simplify $\sqrt[4]{729}$ $root4(729)$ ?

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Answer 1 · 2017-01-15T17:20:53

$3 \sqrt{3}$ $3sqrt3$

Explanation:

$\sqrt[4]{729} = \sqrt[4]{9^{3}} = 9^{\frac{3}{4}} = {(9^{\frac{1}{4}})}^{3} = {(\sqrt{\sqrt{9}})}^{3} = {(\sqrt{3})}^{3} = 3 \sqrt{3}$ $root(4)729 = root(4)(9^3) = 9^(3/4) = (9^(1/4))^3 = (sqrt(sqrt9))^3 = (sqrt3)^3 = 3sqrt3$

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How do you simplify $\sqrt[4]{729}$ $root4(729)$ ?

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