Solving an Equation with Radicals - Concept

Concept 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 Sample Problems (13)

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Solving an Equation with Radicals - Problem 1

Solve:

4 ⋅ ∛x − 1 + 3 = 11
Problem 1
How to solve an equation with a cube root.
Solving an Equation with Radicals - Problem 2

Solve:

x + 2 = x
Problem 2
How to solve an equation with a radical that turns into a quadratic.
Solving an Equation with Radicals - Problem 3

Solve:

3x − 2 − √x + 3 = 1
Problem 3
How to solve an equation with two radicals.
Solving an Equation with Radicals - Problem 4
Problem 4
How to solve radical plus radical = radical.
Solving an Equation with Radicals - Problem 5
Problem 5
How to solve equations with fractional exponents.
Solving an Equation with Radicals - Problem 6
Problem 6
How to solve an root plus root equals a constant, and checking for extraneous solutions.
Solving an Equation with Radicals - Problem 7
Problem 7
How to solve radical equals radical equations.
Solving an Equation with Radicals - Problem 8
Problem 8
How to solve equations with a radical equal to a binomial.
Solving an Equation with Radicals - Problem 9
Problem 9
How to solve cube root equations.
Solving an Equation with Radicals - Problem 10
Problem 10
How to solve exponential equations with decimal or fractional exponents.
Solving an Equation with Radicals - Problem 11
Problem 11
How to solve equations involving a constant times a root.
Solving an Equation with Radicals - Problem 12
Problem 12
Common errors of working with roots and exponents.
Solving an Equation with Radicals - Problem 13
Problem 13
How to solve radicals equal a constant equations.