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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.

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Sample Problems
(13)

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Problem 2

How to solve an equation with a radical that turns into a quadratic.

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Problem 4

How to solve radical plus radical = radical.

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Problem 5

How to solve equations with fractional exponents.

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Problem 6

How to solve an root plus root equals a constant, and checking for extraneous solutions.

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Problem 7

How to solve radical equals radical equations.

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Problem 8

How to solve equations with a radical equal to a binomial.

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Problem 9

How to solve cube root equations.

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Problem 10

How to solve exponential equations with decimal or fractional exponents.

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Problem 11

How to solve equations involving a constant times a root.

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Problem 12

Common errors of working with roots and exponents.

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Problem 13

How to solve radicals equal a constant equations.