# How do you solve √(2x –3) = 2?

Mar 2, 2018

$\frac{7}{2}$

#### Explanation:

Square both sides:

${\sqrt{2 x - 3}}^{2} = {2}^{2}$

${\sqrt{2 x - 3}}^{2}$ becomes $2 x - 3.$ In general, ${\sqrt{x}}^{2} = x .$ Squaring a root removes the root.

${2}^{2} = 4$

$2 x - 3 = 4$

Solve for $x :$

$2 x \cancel{- 3 + 3} = 4 + 3$

$2 x = 7$

$x = \frac{7}{2}$