Simplifying Radicals

Front

What is a radical in mathematics?

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 √18

Back

3√2

Front

What is the prime factorization of 18?

Back

2 × 3 × 3 = 2 × 3².

Front

Simplify √675

Back

15√3

Front

What is the prime factorization of 675?

Back

3 × 3 × 3 × 5 × 5 = 3³ × 5².

Front

Simplify 6√90

Back

18√10

Front

What is the prime factorization of 90?

Back

2 × 3 × 3 × 5 = 2 × 3² × 5.

Front

Simplify √45

Back

3√5

Front

What is the prime factorization of 45?

Back

3 × 3 × 5 = 3² × 5.