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 simplest radical form of √75?

Back

5√3

Front

How do you simplify √45?

Back

3√5

Front

What is the simplest radical form of √32?

Back

4√2

Front

How do you simplify √60?

Back

2√15

Front

What is the simplest radical form 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 a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Front

How do you express √a * √b?

Back

√a * √b = √(a * b) if a and b are non-negative.