Add, Subtract, Multiply Radicals

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What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

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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 root into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

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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.

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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 they have the same index and radicand (the number under the root). Otherwise, they remain separate.

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How do you add or subtract radicals?

Back

To add or subtract radicals, combine like terms. This means you can only add or subtract radicals that have the same index and radicand.

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What is the cube root of a number?

Back

The cube root of a number x is a number y such that y^3 = x. It is denoted as ∛x.

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How do you multiply radicals?

Back

To multiply radicals, multiply the coefficients (numbers in front) and then multiply the radicands (numbers under the root) together.

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

Back

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

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