Simplifying Radical Expressions

Front

What is a radical expression?

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A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

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What does it mean to simplify a radical expression?

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To simplify a radical expression means to rewrite it in a simpler form, often by removing perfect squares or cubes from under the radical sign.

Front

What is the square root of a number?

Back

Front

What is the product property of square roots?

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The product property states that @@ oot{2}{a} imes oot{2}{b} = oot{2}{a imes b}@@.

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What is the quotient property of square roots?

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Front

How do you simplify @@ oot{2}{a^2}@@?

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@@ oot{2}{a^2} = a@@, since the square root of a square is the base.

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What is the simplified form of @@ oot{2}{8}@@?

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How do you simplify @@ oot{2}{m^4}@@?

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@@ oot{2}{m^4} = m^2@@, since the square root of a square is the base.

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What is the simplified form of @@ oot{2}{50}@@?

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Front

What is the simplified form of @@ oot{2}{72}@@?

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