4. Simplifying Radicals (Just Numbers)

Front

What is a radical?

Back

A radical is a symbol that represents 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 150 in simplest radical form?

Back

5√6

Front

How do you simplify √300?

Back

√300 = √(100 * 3) = √100 * √3 = 10√3.

Front

What is the simplest radical form of -5√75?

Back

-25√3

Front

How do you simplify 5√80?

Back

5√80 = 5√(16 * 5) = 5 * 4√5 = 20√5.

Front

What is √72 in simplest radical form?

Back

6√2

Front

What is the process to simplify √(a*b)?

Back

√(a*b) = √a * √b, if both a and b are non-negative.

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.