Operations with Radicals

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What is a radical in mathematics?

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A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the inverse operation of exponentiation.

Tags

CCSS.8.NS.A.1

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How do you simplify a radical expression?

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To simplify a radical expression, factor the number under the radical into its prime factors, and then simplify by taking out pairs of factors for square roots.

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What is the product of two radicals?

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The product of two radicals can be simplified by multiplying the numbers under the radicals together, then simplifying the resulting radical if possible.

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What is the sum of two radicals?

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The sum of two radicals can only be simplified if the radicals have the same index and radicand (the number under the radical). Otherwise, they remain separate.

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What is the difference between rational and irrational numbers?

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Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions.

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How do you rationalize the denominator?

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To rationalize the denominator, multiply the numerator and denominator by a suitable radical that will eliminate the radical in the denominator.

Front

What is the square root of 16?

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The square root of 16 is 4, since 4 x 4 = 16.

Tags

CCSS.8.EE.A.2

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Tags

CCSS.HSN.RN.A.2

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