### Concept (1)

Solving equations with radicals, no matter what power, involves isolating the radical on one side of the equation and then raising both sides of the equation to the power of the radical. When solving radicals, the final step is to isolate the variable. If there are more than one radical, we isolate and remove one root, then isolate and remove the other root.finally, we solve the remaining equation for the variable.

### Sample Problems (13)

Need help with "Solving an Equation with Radicals" problems? Watch expert teachers solve similar problems to develop your skills.

Solve:

4 ⋅ ∛x − 1 + 3 = 11
###### Problem 1
How to solve an equation with a cube root.

Solve:

x + 2 = x
###### Problem 2
How to solve an equation with a radical that turns into a quadratic.

Solve:

3x − 2 − √x + 3 = 1
###### Problem 3
How to solve an equation with two radicals.
###### Problem 5
How to solve equations with fractional exponents.
###### Problem 6
How to solve an root plus root equals a constant, and checking for extraneous solutions.