# How do you solve the equation sqrt(x-5)=2sqrt6?

May 19, 2017

$x = 29$

#### Explanation:

Square both sides to get rid of the square root. Note that you will have to square the $2$ in front of the $\sqrt{6}$:

$x - 5 = 4 \left(6\right)$

Simplify the right side:

$x - 5 = 24$

Solve for $x$ by adding $5$ on both sides:

$x = 29$