CA Target 1-4 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 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, and then take out pairs of factors for square roots (or appropriate groups for higher roots).

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What is the square root of 18?

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The square root of 18 can be simplified to 3√2, since 18 = 9 * 2 and √9 = 3.

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What does it mean to rationalize the denominator?

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Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction by multiplying the numerator and denominator by a suitable radical.

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How do you multiply two radical expressions?

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To multiply two radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately, then simplify if possible.

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What is the definition of a perfect square?

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A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, and 16 are perfect squares.

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What is the square root of a product?

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