Chapter 7.5, Problem 2P

What is the value of each expression?

$\sqrt[3]{125}$

To determine

To find the value of given expression $\sqrt[3]{125}$ .

Answer to Problem 2P

  $\sqrt[3]{125}=5$

Explanation of Solution

Given:

  $\sqrt[3]{125}$

Calculation:

  $\begin{array}{l}\sqrt[3]{125}={\left(125\right)}^{\frac{1}{3}}\\ ={\left(5^3\right)}^{\frac{1}{3}}\\ ={\left(5\right)}^{3\times \frac{1}{3}}\\ ={\left(5\right)}^1\\ =5\end{array}$