Question

In the following exercises, solve.

$\sqrt{7z+15}=6$

Short answer

On solving, we get$z=3$

Step-by-step solution

Given information

Given equation$\sqrt{7z+15}=6$

Square both sides and solve

Solving, we get

$$\begin{gathered} \sqrt{7z+15}=6 \\ 7z+15=6^2 \\ 7z+15=36 \\ 7z=21 \\ z=3 \end{gathered}$$

Checking the value

Checking, we get

$$\begin{gathered} \sqrt{7\left(3\right)+15}=6 \\ \sqrt{21+15}=6 \\ \sqrt{36}=6 \\ 6=6 \end{gathered}$$

So its true