Chapter 8, Problem 1RP

To determine

The simplify the given expression.

Answer to Problem 1RP

Solution: The simplified form of $\sqrt{64}$ is $8$ .

Explanation of Solution

Given:The given expression is $\sqrt{64}$ .

Calculation:

To calculate the square root is to find a value which gives original number when multiplied by itself. A number is knows as perfect square when its square root is a whole number.

The number 64 is the perfect square of 8.

  $\begin{array}{c}\sqrt{64}\\ =\sqrt{8\times 8}\\ =\sqrt{{\left(8\right)}^2}\\ =8\end{array}$

Conclusion:

Thus,the simplified form of $\sqrt{64}$ is $8$ .