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Published byBranden Stanley Modified over 5 years ago

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A radical equation is an equation that contains a radical.

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Did you ever notice how much sense mathematical definitions usually make?

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The goal in solving radical equations is the same as the goal in solving most equations.

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We need to isolate the variable.

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But there is only one way to move the variable out from under the square root sign.

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We need to square the radical expression.

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And, because it is an equation, what we do to one side,

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And, because it is an equation, what we do to one side, we have to do to the other.

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And now, we need to simplify:

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Remember, no matter what n is. (Even if n is an expression)

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So we have:

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Solve for x: Step 1. Simplify the expression:

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Solve for x:

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Step 1. Simplify the expression. Step 2. Isolate the radical.

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Solve for x:

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Step 1. Simplify the expression. Step 2. Isolate the radical. Step 3. Square both sides.

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Solve for x:

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Step 1. Simplify the expression. Step 2. Isolate the radical. Step 3. Square both sides. Step 4. Solve the equation.

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Solve for x:

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Try this one: Solve for x:

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