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

Simplify √28

Back

2√7

Front

Simplify √45

Back

3√5

Front

Simplify 3√16

Back

12

Front

Simplify √243

Back

9√3

Front

Simplify √16

Back

4

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a whole number that, when multiplied by itself, gives the perfect square.

Front

What is the product property of square roots?

Back

The product property states that √(a*b) = √a * √b for any non-negative numbers a and b.

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a/b) = √a / √b for any non-negative numbers a and b, where b ≠ 0.