Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent 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

What is the square root of 243?

Back

9√3

Front

How do you simplify √96?

Back

4√6

Front

What is the simplified form of √32?

Back

4√2

Front

In simplest radical form, what is √75?

Back

5√3

Front

What is the square root of 125?

Back

5√5

Front

What is the first step in simplifying a radical?

Back

Identify and factor out any perfect squares from under the radical.

Front

What is the perfect square factor of 48?

Back

16, since 48 = 16 * 3.

Front

How do you express √a * √b?

Back

√a * √b = √(a * b).