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What is a radical equation?

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A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).

Tags

CCSS.HSA.REI.A.2

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How do you isolate a radical in an equation?

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To isolate a radical, you should perform algebraic operations to get the radical term by itself on one side of the equation.

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CCSS.HSA.REI.A.2

Front

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Multiply both sides by 5 to eliminate the fraction.

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CCSS.6.EE.B.7

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What does it mean to check your answers in radical equations?

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Checking your answers means substituting the solution back into the original equation to ensure it satisfies the equation.

Tags

CCSS.HSA.REI.A.2

Front

Back

Tags

CCSS.6.EE.B.7

Front

What is the purpose of squaring both sides of an equation?

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Squaring both sides is used to eliminate a square root, allowing you to solve for the variable.

Tags

CCSS.HSA.REI.A.2

Front

What is a rational exponent?

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A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root.

Tags

CCSS.HSN.RN.A.2

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@@rac{1}{4} = rac{1}{ oot{4}{x}}@@.

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What is the first step to solve @@2 oot{x-5} = 31@@?

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Divide both sides by 2 to isolate the radical.

Tags

CCSS.HSA.REI.A.2

Front

What is the solution to @@ oot{x} = 4@@?

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