How To: Solve an equation with a radical under a radical

In this video the instructor shows how to solve an equation with a radical under a radical. If you have an equation with a square root on both sides, with one of the sides having another inner square root under the original square root, it can be a little tricky to solve it.

First, do the squaring on both sides. This cancels the original radical on both sides but one of the sides will still be left with a radical. Now isolate the radical on one side and the remaining terms on the other side. Then do squaring on both sides again to remove this last radical. Now just solve the equation and simplify it to obtain the roots of the equation.

This video shows how to solve an equation that has a radical under a radical by squaring on both sides two times.