Simplifying 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.

Front

Simplify: √28

Back

2√7

Front

What is the square root of 16?

Back

4

Front

Simplify: 3√16

Back

12

Front

Simplify: √48

Back

4√3

Front

What is the product of √3 and √15?

Back

√3 ⋅ √15 = √(3*15) = √45 = 3√5

Front

Simplify: √5 ⋅ √10

Back

5√2

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as √a ⋅ √b = √(a*b).

Front

What is a perfect square?

Back

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