8.3 Simplify Radical Expressions with Variables

Front

Simplify √45n³

Back

3n√5n

Front

Simplify completely: √(18v²)

Back

3v√2v

Front

Simplify √45x⁴y⁷

Back

3x²y³√5y

Front

What is a radical expression?

Back

An expression that includes a root, such as a square root or cube root.

Front

What does it mean to simplify a radical expression?

Back

To rewrite the expression in a simpler form, removing any perfect squares or cubes.

Front

Simplify √(36a²b)

Back

6a√b

Front

What is the index of a radical?

Back

The index indicates the degree of the root; for example, a square root has an index of 2.

Front

Simplify √(x²y)

Back

x√y

Front

What is the product property of square roots?

Back

√(a * b) = √a * √b.

Front

Simplify √(12x²)

Back

2x√3