Simplifying Radicals

Front

What is a radical?

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

What is the square root of 16?

Back

4

Front

How do you simplify √125?

Back

5√5

Front

What is the process to simplify √300?

Back

Factor 300 into 100 and 3, then take the square root of 100 to get 10, resulting in 10√3.

Front

What is the square root of 100?

Back

10

Front

How do you simplify √275?

Back

Factor 275 into 25 and 11, then take the square root of 25 to get 5, resulting in 5√11.

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a whole number that, when multiplied by itself, gives the original number.

Front

What is the square root of 25?

Back

5

Front

What is the simplified form of √(a^2)?

Back

a, where a is a non-negative number.