Chapter 12.1, Problem 1WE

To determine

To solve: The equation $x^2=64$ and express irrational solution in simplest radical form.

Answer to Problem 1WE

The solution set is $\left(64,-64\right)$ .

Explanation of Solution

Given information:

The given equation $x^2=64$ .

Calculation:

  $\begin{array}{l}\Rightarrow x^2=64\\ \Rightarrow x=\pm \sqrt{64}\\ \Rightarrow x=\pm 64\end{array}$

Therefore, the solution set is $\left(64,-64\right)$ .