Add and Subtract 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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To simplify radical expressions, factor the number under the root into its prime factors and look for pairs (for square roots) or groups (for cube roots) to simplify.

Front

What is the cube root of a number?

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How do you add radical expressions?

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To add radical expressions, combine like terms. Only radicals with the same index and radicand can be added together.

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Front

Simplify @@ oot{3}{16xy} - oot{3}{54xy}@@.

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The simplified form is @@- oot{3}{2xy}@@.

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What is the process to simplify @@7 oot{3}{9x^3y} - 2x oot{3}{12xy} + 6 oot{3}{48x^3y}@@?

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The simplified form is @@21x oot{3}{xy} + 20x oot{3}{3xy}@@.

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How do you combine @@ oot{32} + 5 oot{2}@@?

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The combined form is @@7 oot{2}@@.

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What is the result of simplifying @@ oot{3} + oot{27}@@?

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The result is @@4 oot{3}@@.

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What is the fourth root of a number?

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