7.8 Equations Involving Radicals

Solving Equations Involving Radicals:

1. the term with a variable in the radicand on one side of the sign.

2. Raise both sides of the equation to the power of the .

3. Solve the equation. 4. Check for extraneous solutions. (substitute

your answer(s) back in and check)

isolateequal

index

Solve.

1. 5 y 8

Solve.

2. 2x 13 5

Solve.

3.4

3x4 20

Solve.

4. y y 3 5 0

Solve.

5. 7 6x 3x 2

Solve.

6. x 14 3x 10 0

If more than one term in an equation contains a variable in a , you may have to repeat the process of

a radical term.

radicandisolating

Solve.

7. x 6 3 x

Solve.

8. 2k 3 1 k 1

Solve.

9. x 6 4 x 2

Solve.

10.4b 2b 1

3 b