Simplifying Radicals

Front

What is a radical?

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: √6 ⋅ √6

Back

6

Front

Simplify: √18

Back

3√2

Front

Simplify: √3 ⋅ √15

Back

3√5

Front

Simplify: √125

Back

5√5

Front

Simplify: √80

Back

4√5

Front

What is the product property of square roots?

Back

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

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a/b) = √a / √b, where b ≠ 0.

Front

How do you simplify √(a^2) ?

Back

√(a^2) = a, where a is a non-negative number.