Solving Radical Equations

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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.).

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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

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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

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Back

Tags

CCSS.6.EE.B.7

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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

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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.

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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

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

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