# How do you solve #sqrt(2n-88)=sqrt(n/6)#?

##### 1 Answer

The solution of the equation is

#### Explanation:

First, you must get rid of the radicals. In this case, that is achieved by squaring both sides of the equation.

Now use inverse operations to solve for

Now we must check the solution to be sure that it is not extraneous. This step absolutely cannot be skipped when solving radical equations! Remember to check a solution, we put it in place of the variable in the original equation and simplify each side of the equation to see if it makes a true statement.

Since the two sides of the equation simplify to be equal,