Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent 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

What is the square root of 24?

Back

The square root of 24 can be simplified to 2√6.

Front

How do you simplify 2√24?

Back

2√24 simplifies to 4√6.

Front

What is the process to simplify -10√20?

Back

-10√20 simplifies to -20√5.

Front

What is the simplified form of 5√80?

Back

5√80 simplifies to 20√5.

Front

How do you simplify -5√75?

Back

-5√75 simplifies to -25√3.

Front

What is the simplified form of 4√75?

Back

4√75 simplifies to 20√3.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself, such as 1, 4, 9, 16, etc.

Front

How do you identify perfect square factors in a radical?

Back

To identify perfect square factors, factor the number under the radical and look for pairs of prime factors.