Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to indicate 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

Simplify the following radical: 4√75

Back

20√3

Front

Simplify the following radical: 5√80

Back

20√5

Front

Simplify the following radical: √24

Back

2√6

Front

Simplify the following radical: √243

Back

9√3

Front

Simplify the following radical: 5√100

Back

50

Front

What is the square root of 100?

Back

10

Front

What is the prime factorization of 75?

Back

3 × 5²

Front

What is the prime factorization of 80?

Back

2⁴ × 5