Multiplying Radical Expressions

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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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How do you multiply two radical expressions?

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To multiply two radical expressions, multiply the coefficients and then multiply the radicands. For example, @@ ext{If } a ext{ and } b ext{ are coefficients, then } ext{ } oot{n}{a} imes oot{n}{b} = oot{n}{ab}@@.

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The product is @@ oot{2}{15}@@.

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Simplify @@ oot{3}{4} imes oot{3}{9}@@.

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The simplified form is @@ oot{3}{36} = 6@@.

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What is the square root of a product?

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The square root of a product is the product of the square roots. For example, @@ ext{If } a ext{ and } b ext{ are positive, then } oot{2}{ab} = oot{2}{a} imes oot{2}{b}@@.

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Simplify @@ oot{5}{25} imes oot{5}{5}@@.

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The simplified form is @@ oot{5}{125} = 5@@.

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The result is @@ oot{2}{16} = 4@@.

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How do you simplify @@ oot{4}{16x^4}@@?

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The product is @@6 oot{2}{15}@@.

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What is the simplified form of @@ oot{3}{27}@@?

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