Question

$5 \sqrt{2 x \div 8} = 500$Hello, please answer this question. I am new to Brainly.

Answer 1

Explanation

We need to solve the following equation for x:

$5\sqrt{\frac{2x}{8}}=500$

We can start by dividing both sides by 5:

$\begin{gathered} \frac{5\sqrt{\frac{2x}{8}}}{5}=\frac{500}{5} \\ \sqrt{\frac{2x}{8}}=100 \end{gathered}$

Then we square both sides:

$\begin{gathered} (\sqrt{\frac{2x}{8}})^2=100^2 \\ \frac{2x}{8}=10000 \end{gathered}$

Then we multiply both sides by 8:

$\begin{gathered} \frac{2x}{8}\cdot8=10000\cdot8 \\ 2x=80000 \end{gathered}$

Then we divide both sides by 2:

$\begin{gathered} \frac{2x}{2}=\frac{80000}{2} \\ x=40000 \end{gathered}$Answer

Then the answer is x=40000