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

What is the square root of 16?

Back

4

Front

How do you simplify √75?

Back

√75 = √(25 * 3) = 5√3.

Front

What is the simplified form of √150?

Back

√150 = √(25 * 6) = 5√6.

Front

What is the simplified form of √140?

Back

√140 = √(4 * 35) = 2√35.

Front

How do you simplify 4√75?

Back

4√75 = 4 * 5√3 = 20√3.

Front

What is the simplified form of √300?

Back

√300 = √(100 * 3) = 10√3.

Front

What is the simplified form of 10√20?

Back

10√20 = 10 * √(4 * 5) = 20√5.

Front

What is a perfect square?

Back

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