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.

Front

What is the square root of 24 in simplest radical form?

Back

2√6

Front

How do you simplify √300?

Back

√300 = √(100 * 3) = √100 * √3 = 10√3

Front

What is the simplified form of 10√20?

Back

10√20 = 10√(4 * 5) = 10 * 2√5 = 20√5

Front

What is the simplified form of 5√80?

Back

5√80 = 5√(16 * 5) = 5 * 4√5 = 20√5

Front

How do you simplify -5√75?

Back

-5√75 = -5√(25 * 3) = -5 * 5√3 = -25√3

Front

What is the square root of 16?

Back

4

Front

What is the square root of 49?

Back

7

Front

What is the product of √a and √b?

Back

√a * √b = √(a * b) for non-negative a and b.