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

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

Isolate the squared term. (Already isolated.)

##4x^2 = 52##

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

##sqrt(4x^2) = +-sqrt(52)##

Solve for x.

##2x = +-sqrt(4·13)##

##2x = +-sqrt(4)·sqrt(13)##

##2x = +-2 sqrt(13)##

##x = +-sqrt(13)##