8.3 Simplify Radical Expressions with Variables

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 does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in a simpler form, removing any perfect squares or higher powers from under the radical sign.

Front

What is the square root of 36?

Back

6

Front

How do you simplify √(a^2)?

Back

√(a^2) = a, where a is a non-negative number.

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b.

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a / b) = √a / √b, where b ≠ 0.

Front

How do you simplify √(x^4)?

Back

√(x^4) = x^2.

Front

What is the simplified form of √(45)?

Back

√(45) = 3√5.

Front

How do you simplify √(x^2y^4)?

Back

√(x^2y^4) = xy^2.

Front

What is the simplified form of √(28m^4n^3)?

Back

2m^2n√7n.