Adding, Subtracting, and Multiplying 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 square root of 8?

Back

The square root of 8 can be simplified to 2√2.

Front

How do you add or subtract radical expressions?

Back

You can only add or subtract radical expressions that have the same radicand (the number under the radical). Combine the coefficients of like radicals.

Front

What is the result of -2√2 - 3√8?

Back

The result is -8√2 after simplifying 3√8 to 6√2.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3.

Front

How do you multiply radical expressions?

Back

To multiply radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately.

Front

What is the product of √2 and √3?

Back

The product of √2 and √3 is √6.

Front

What does it mean to rationalize the denominator?

Back

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

Front

How do you rationalize the denominator of 1/√2?

Back

Multiply the numerator and denominator by √2 to get √2/2.