Operations with Radicals

Front

Simplify: √6 ⋅ √6

Back

6

Front

Simplify the following radical: √150

Back

5√6

Front

Simplify: 3√2 - 3√18

Back

-6√2

Front

Simplify: 6√2 ⋅ 5√14

Back

60√7

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, typically the square root.

Front

What is the product property of radicals?

Back

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

Front

What is the quotient property of radicals?

Back

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

Front

How do you simplify √(a^2)?

Back

√(a^2) = a, where a is non-negative.

Front

What is the sum of two radicals?

Back

You can only add radicals if they have the same index and radicand.

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.