Adding and Subtracting Radicals

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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 (∛).

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What does it mean to simplify a radical?

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To simplify a radical means to express it in its simplest form, removing any perfect square factors from under the radical sign.

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What is the square root of 16?

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4

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What is the square root of a perfect square?

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The square root of a perfect square is a whole number that, when multiplied by itself, gives the perfect square.

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How do you add radicals?

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You can add radicals if they have the same index and radicand. Combine the coefficients of the like radicals.

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What is the principle of combining like radicals?

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Like radicals can be combined by adding or subtracting their coefficients, while keeping the radical part unchanged.

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