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 from under the radical sign.

Front

Simplify: √36

Back

6

Front

What is the square root of 1?

Back

1

Front

Simplify: √49

Back

7

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b.

Front

Simplify: √(25 * 4)

Back

20

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a / b) = √a / √b.

Front

Simplify: √(100 / 25)

Back

2

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.