Simplifying Radicals

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What is a radical in mathematics?

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A radical is a symbol that represents the root of a number, most commonly the square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

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How do you simplify a square root?

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To simplify a square root, factor the number under the radical into its prime factors, then pair the factors to take them out of the radical.

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What does it mean to simplify a cube root?

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To simplify a cube root, factor the number under the radical into its prime factors and take out any groups of three.

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Tags

CCSS.8.EE.A.2

Front

How do you identify perfect squares?

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Perfect squares are numbers that can be expressed as the square of an integer, such as 1, 4, 9, 16, 25, etc.

Tags

CCSS.6.EE.A.1

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What is the difference between a square root and a cube root?

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A square root (√) finds a number that, when multiplied by itself, gives the original number, while a cube root (∛) finds a number that, when multiplied by itself three times, gives the original number.

Tags

CCSS.8.EE.A.2

Front

What is the first step in simplifying radicals?

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The first step is to factor the number under the radical into its prime factors.