# How do you solve radical equations?

Nov 4, 2014

A radical equation is solved by simply squaring or cubing both sides of the equation. For example:

√(2x+9)=5

√(2x+9)^2 = ${5}^{2}$

Then, continue to isolate the variable:

$2 x + 9 = 25$

$2 x + 9 - 9 = 25 - 9$

$\frac{2 x}{2} = \frac{16}{2}$

$x = 8$