Multiply 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}@@.

Tags

CCSS.8.NS.A.1

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for perfect squares (or cubes, etc.) to simplify.

Front

What is the product of two square roots?

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The product of two square roots can be simplified using the property: @@ ext{If } a ext{ and } b ext{ are non-negative, then } oot{2}{a} imes oot{2}{b} = oot{2}{ab}@@.

Front

What is the distributive property in multiplication?

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Tags

CCSS.3.OA.B.5

Front

How do you multiply a radical expression by a whole number?

Back

To multiply a radical expression by a whole number, simply multiply the whole number by the coefficient of the radical. For example, @@3 oot{2}{5} = 3 oot{2}{5}@@.

Front

What is the result of @@ oot{2}{a} imes oot{2}{a}@@?

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Front

How do you combine like terms in radical expressions?

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Like terms in radical expressions can be combined if they have the same radical part. For example, @@2 oot{2}{3} + 3 oot{2}{3} = 5 oot{2}{3}@@.

Front

What is the simplified form of @@ oot{12}@@?

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Front

What does it mean to rationalize the denominator?

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Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction. This is done by multiplying the numerator and denominator by a suitable radical.

Front

What is the result of @@ oot{5} imes oot{5}@@?

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