Chapter 9.2, Problem 2E

To determine

The usage of Product Property of square roots to simplify the given expression

Answer to Problem 2E

  $10\sqrt{7}$

Explanation of Solution

Given:

The given expression is

  $\sqrt{700}$

Calculation:

According to the Product Property of square roots,

  $\sqrt{ab}=\sqrt{a}\times \sqrt{b}$

Hence, the given term can be simplified by using the Product Property of square roots as:

  $\begin{array}{l}=\sqrt{700}\\ =\sqrt{7}\times \sqrt{100}\\ =\sqrt{7}\times {\left({10}^2\right)}^{\frac{1}{2}}\\ =\sqrt{7}\times 10\\ =10\sqrt{7}\end{array}$