Operations with Radicals

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 (∛).

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

Front

What is the product property of radicals?

Back

The product property states that @@ \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}@@.

Front

What is the quotient property of radicals?

Back

Front

How do you add or subtract radical expressions?

Back

Front

What is the difference between rational and irrational numbers?

Back

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.

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Front

How do you multiply two binomials that include radicals?

Back

Use the distributive property (FOIL method) to multiply each term in the first binomial by each term in the second binomial.