12/16 Operations with 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. For example, √x or ∛y.

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 groups (for cube roots) to simplify.

Front

What is the square root of 49?

Back

7

Front

Simplify: √(100)

Back

10

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as √a * √b = √(a*b).

Front

Simplify: √(2) * √(8)

Back

√(2) * √(8) = √(16) = 4.

Front

What is the square root of a fraction?

Back

The square root of a fraction is the square root of the numerator divided by the square root of the denominator: √(a/b) = √a / √b.

Front

Simplify: √(25/36)

Back

√(25/36) = √25 / √36 = 5/6.

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

Simplify: 1/√(25)

Back

1/√(25) = 1/5.