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 16?

Back

4

Front

How do you simplify √(a^2)?

Back

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

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, provided b is not zero.

Front

Simplify: √(x^4)

Back

x^2

Front

Simplify: √(45x^4y^7)

Back

3x^2y^3√5y

Front

What is the simplified form of √(50)?

Back

5√2

Front

How do you simplify √(x^2y^2)?

Back

√(x^2y^2) = xy.