How to solve radicals equations

Introduction:

An equation with radical is an equation of the form X^m/n = a, for m, n integers.

Steps for solving equations with radicals:

When a variable is inside a square root, first take one of the radicals to one side of the equation. Squaring on both sides of the equation, we can eliminate the radicals (square root).

Now, depending on the equation, the variable involved in the new equation, either linear or quadratic methods used for solving the equation for unknown value. Now, we are going to see some radical equations problems.

How to solve radicals equations:

Example radical equation:

Find the value of x by solving the equation: `sqrt(x)` +8=9

Solution:

Subtract 8 on both sides

`sqrt(x)` +8-8=9-8

`sqrt(x)` =1

To eliminate square root, take square on both sides of the equation, we get

x=1²

x=1

So, the answer is x=1.