## Related questions with answers

Question

In the radical expression $\sqrt[5]{125}$ what is the index? What is the radicand?

Solution

VerifiedStep 1

1 of 2Here, we have that:

$\sqrt[5]{125}=125^{\tfrac{1}{5}}$,

$\tfrac{1}{5}$ is a fractional exponent,index is equivalent to the denominator of a fractional exponent, so index is $5$. And radicand is equivalent to the numerator of fractional exponent, so radicand is $1$.

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