Radicals (Simplifying, Adding and Subtracting)

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What is a radical?

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A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the operation of finding a number that, when multiplied by itself a certain number of times, gives the original number.

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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, then pair the factors. Each pair can be taken out of the radical as a single number.

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What is the square root of 16?

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

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The simplified form is 2.

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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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What is the product of two radicals?

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What does it mean to simplify completely?

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To simplify completely means to reduce an expression to its simplest form, where no further simplification is possible.