Unit 4 Radicals Flashcard Review (operations & simplifying)

Front

What is a radical in mathematics?

Back

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.

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the root into its prime factors, and then pair the factors. Each pair can be taken out of the root as a single number.

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What is the difference between even and odd roots?

Back

Even roots (like square roots) can only yield non-negative results, while odd roots (like cube roots) can yield both positive and negative results.

Front

How do you add or subtract radicals?

Back

Front

What is the product property of radicals?

Back

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What is the quotient property of radicals?

Back

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How do you rationalize the denominator?

Back

To rationalize the denominator, multiply the numerator and denominator by a radical that will eliminate the radical in the denominator.

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What does it mean to express an answer in simplest form?

Back

Expressing an answer in simplest form means reducing it to its most basic form, where no further simplification is possible.