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.

Front

Simplify the following radical: √1000

Back

10√10

Front

Simplify √20

Back

2√5

Front

Simplify the following radical: √150

Back

5√6

Front

What is the square root of 14?

Back

√14 is an irrational number and cannot be simplified further.

Front

Simplify the following radical: 2√14

Back

2√14 (already in simplest form).

Front

Simplify the following radical: √275

Back

5√11

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

List the first five perfect squares.

Back

0, 1, 4, 9, 16.