Solve Rational Radical Absolute Value

• Step 1: Squaring does not cancel a square root. Squaring and square-rooting are not inverse operations.

• Step 2: The cubed root of 64 is 4, not 8.

• Step 3: We should add 5 to both sides of the equation, not subtract 5.

• Step 4: Taking a square root, or any even root, does not require both the positive and negative root.

• There is no error - the equation is solved correctly.

Use the properties of exponents and radicals to simplify the expression. Write your answer as a radical expression and with positive rational exponents.

which value(s) of x make the expression undefined?

Subtract and simplify.

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Solve the equation.

• 25

• -29

• -3

• 3

• 9^2/3

Solve the equation.

• 16

• -16

• 8

• -8

• 32

Rationalize the denominator using the conjugate.

Solve the absolute value equation. *Absolute Value means both the positive and negative!

CHOOSE ALL THAT APPLY

• 6

• -6

• -3

• 3

• 9

What is the first step to solving Radical Equations?

• Check for extraneous solutions.

• Raise each side of the equation to the power of the index.

• Isolate the radical on one side of equations.

• Solve the remaining equation.

• Convert from radical form to rational exponent form