simplifying radicals

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

Simplify: √45

Back

3√5

Front

Simplify: √200

Back

10√2

Front

Simplify: √48

Back

4√3

Front

Simplify: √125

Back

5√5

Front

What is the square root of 9?

Back

3

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a whole number.

Front

What is the first step in simplifying a radical?

Back

Factor the number under the radical into its prime factors.

Front

What is the product property of square roots?

Back

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