Chapter 0, Problem 61PFG

To determine

To simplify the expression $\sqrt{\frac{25}{49}}$

Answer to Problem 61PFG

  $\frac{5}{7}$ is the simplified expression.

Explanation of Solution

Given information:

  $\sqrt{\frac{25}{49}}$

Calculation:

The expression is $\sqrt{\frac{25}{49}}$

Simplifying equation,

  $\sqrt{\frac{25}{49}}=\sqrt{\frac{5\times 5}{7\times 7}}$

Taking out squares,

  $\sqrt{\frac{25}{49}}=\sqrt{\frac{5^2}{7^2}}$

So,

  $\sqrt{\frac{25}{49}}=\frac{5}{7}$

Hence, $\frac{5}{7}$ is the simplified expression.