How do you simplify $\sqrt[4]{162}$ $root4(162)$ ?

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How do you simplify $\sqrt[4]{162}$ $root4(162)$ ?

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Answer 1 · 2016-01-22T23:36:53

$3 \sqrt[4]{2}$ $3root4 2$

Explanation:

Note that the prime factorization of $162$ $162$ is $2 \times 3^{4}$ $2xx3^4$ .

$\sqrt[4]{162} = \sqrt[4]{2 \times 3^{4}} = \sqrt[4]{2} \times \sqrt[4]{3^{4}} = 3 \sqrt[4]{2}$ $root(4)162=root4(2xx3^4)=root4 2xxroot4(3^4)=3root4 2$

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How do you simplify $\sqrt[4]{162}$ $root4(162)$ ?

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