Adding Subtracting and Multiplying Radical Expressions

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.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

Simplify: √16

Back

4

Front

What is the product of two radical expressions?

Back

The product of two radical expressions can be simplified by multiplying the radicands and taking the square root of the result.

Front

Simplify: √a * √b

Back

√(a*b)

Front

What is the sum of two radical expressions?

Back

The sum of two radical expressions can only be simplified if they have the same radicand.

Front

Simplify: 2√3 + 3√3

Back

5√3

Front

What is the difference of two radical expressions?

Back

The difference of two radical expressions can only be simplified if they have the same radicand.

Front

Simplify: √18 - √12

Back

3√2 - 2√3

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any radicals in the denominator of a fraction.