Simplify Radicals

Front

What is a radical in mathematics?

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 from under the radical sign.

Front

What is the square root of 9?

Back

3

Front

How do you simplify √18?

Back

√18 = √(9*2) = √9 * √2 = 3√2.

Front

How do you simplify √24?

Back

√24 = √(4*6) = √4 * √6 = 2√6.

Front

How do you simplify √80?

Back

√80 = √(16*5) = √16 * √5 = 4√5.

Front

How do you simplify √28?

Back

√28 = √(4*7) = √4 * √7 = 2√7.

Front

How do you simplify √125?

Back

√125 = √(25*5) = √25 * √5 = 5√5.

Front

What is the product of two square roots?

Back

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

Front

What is the quotient of two square roots?

Back

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