Learning Objectives:

__Radical Equation Applications __

**Radical equation** is an equation that contains **radicals or rational exponents.**We know how to solve **radical equations.** So here are the steps that we will follow:

**1.**We are going to put one **radical** on each side of the equal sign.

**2.** Then we will raise both sides of the equation to the power of the index just like last time.

**3.** However, now if one**radical** remains, we are going to have to isolate the remaining **radical** and raise both sides to the power of the index again, solve again and then check answers.

Mathematical problems that include **radical equations** arise in a number of professions, from engineering to nursing.**Radical equations** are also used in financial planning, medicine, oceanology, geology, and meteorology.

**Hook Questions**

*1. How do you get rid of a square root in an equation? *

*2. How do you find the extraneous solution? *

*3. How do you solve an equation with two radicals?*

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