# How do you solve 4x^2=52 solve using the square root property?

Feb 8, 2015

Using the square root property to solve this problem involves the following steps.

Isolate the squared term. (Already isolated.)

$4 {x}^{2} = 52$

Take the square of both sides, indicating that the solution can be positive or negative.

$\sqrt{4 {x}^{2}} = \pm \sqrt{52}$

Solve for x.

2x = +-sqrt(4·13)

2x = +-sqrt(4)·sqrt(13)

$2 x = \pm 2 \sqrt{13}$

$x = \pm \sqrt{13}$