SIMPLYFYING 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, often by removing any perfect squares or cubes from under the radical.

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

How do you simplify √(a^2)?

Back

√(a^2) = |a|, which means the absolute value of a.

Front

What is the value of √(16)?

Back

√(16) = 4.

Front

How do you simplify √(a) ⋅ √(b)?

Back

You can combine them as √(a*b).

Front

What is the value of √(45)?

Back

√(45) = 3√5, since 45 = 9*5 and √9 = 3.

Front

How do you simplify -2√10 ⋅ 3√20?

Back

-2√10 ⋅ 3√20 = -6√(10*20) = -6√200 = -60√2.

Front

What is the simplified form of -2√2 - 3√8 - √5?

Back

-2√2 - 3√8 - √5 = -8√2 - √5.