Math: Solving radical equations and inequalities (6-7)

If the radical is to the power of 2

If the radical is to the power of 3

Multiply both side by square to remove the radical

Simplify

Move any numbers that are not under the square root to the other side of the inequality

After you find the solution, place the inequality and make it more than or equal to 0

Inequalities

Equations

check your answer

steps

square both sides to get ride from the radical

solve for x

move any numbers to the other side

After you find the solution for that, you can create a number line, place the numbers of both the solutions that you got and then see where do they both meet up

it might be rejected means their is no solution

substute

Simplify

After you found the the solution for x, stop there and don't proceed

Multiply both side by cube to remove the radical

if the answer is equal then their is real solution

Move any numbers that are not under the cube root to the other side of the inequality

check your answer

by: sara alsaeed - shahad alshail 11-A