Practice with Simplifying Square Roots(Radicals)

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, √9 = 3 because 3 × 3 = 9.

Front

Simplify the following radical: √275

Back

5√11

Front

What is the process of simplifying square roots?

Back

The process involves finding perfect squares that can be factored out of the radical. For example, √24 can be simplified to 2√6 because 24 = 4 × 6 and √4 = 2.

Front

Simplify the following radical: 5√80

Back

20√5

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

Simplify the following radical: 2√24

Back

4√6

Front

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in a simpler form, usually by factoring out perfect squares.

Front

Simplify the following radical: √72

Back

6√2

Front

What is the square root of 1?

Back

The square root of 1 is 1, since 1 × 1 = 1.

Front

Simplify the following radical: √28

Back

2√7