# How do you solve √(2x) = 6?

Mar 23, 2018

square both sides and then solve for x, which should give you the solution: $x = 18$

#### Explanation:

First, we square both sides:

${\sqrt{2 x}}^{2} = {6}^{2} \Rightarrow 2 x = 36$

Normally, when you solve by squaring something, you have to assume that it could be positive or negative. However, since we know that the square root has no imaginary terms in it, we also know that $x$ has to be positive.

Continuing...

2x=36 rArr color(red)(x=18