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 √49?

Back

7

Front

What is √16?

Back

4

Front

What is √32 simplified?

Back

4√2

Front

What is √96 simplified?

Back

4√6

Front

What is √75 simplified?

Back

5√3

Front

How do you simplify √a²?

Back

√a² = a, where a is a non-negative number.

Front

What is the product property of square roots?

Back

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

Front

What is the quotient property of square roots?

Back

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