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 from under the radical sign.

Front

What is the square root of 4?

Back

2

Front

What is the square root of 9?

Back

3

Front

Simplify √36.

Back

6

Front

What is the prime factorization of 60?

Back

2 × 2 × 3 × 5.

Front

How do you simplify √60?

Back

√60 = √(4 × 15) = √4 × √15 = 2√15.

Front

What is the square root of 125?

Back

5√5.

Front

How do you simplify √150?

Back

√150 = √(25 × 6) = √25 × √6 = 5√6.

Front

What is the square root of 32?

Back

4√2.