Simplifying 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 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 cubes 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, 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: √(50)

Back

5√2

Front

Simplify: 3√(12)

Back

6√3

Front

What is the simplified form of 2√(18)?

Back

6√2

Front

How do you simplify √(xy)?

Back

√(xy) = √x * √y.