Radical Operations Practice

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

Front

How do you simplify a radical expression?

Back

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

Front

What is the cube root of a number?

Back

Front

Simplify @@ oot{3}{375} + oot{3}{135} + oot{3}{24}@@.

Back

@@3 oot{3}{5} + 7 oot{3}{3}@@.

Front

What is the product of two radical expressions?

Back

The product of two radical expressions can be simplified by multiplying the numbers under the radicals together. For example, @@ oot{n}{a} imes oot{n}{b} = oot{n}{a imes b}@@.

Front

Simplify @@ oot{3}{112} imes oot{3}{14}@@.

Back

@@2 oot{3}{196}@@.

Front

What is the difference between a square root and a cube root?

Back

Front

What does it mean to rationalize the denominator?

Back

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

Front

What is the value of @@ oot{3}{27}@@?

Back

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms. Only radicals with the same index and radicand can be added together.