Add and Subtract Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you add or subtract radicals?

Back

To add or subtract radicals, combine like terms. This means you can only add or subtract radicals that have the same index and radicand.

Front

What does it mean for radicals to be like terms?

Back

Radicals are like terms if they have the same index and the same radicand. For example, 3√2 and 5√2 are like terms.

Front

Simplify: 3√6 - 4√6

Back

-√6

Front

Simplify: -11√21 - 11√21

Back

-22√21

Front

Simplify: -3√20 - √5

Back

-7√5

Front

Simplify: 3√8 + 3√2

Back

9√2

Front

Simplify: -10√7 + 12√7

Back

2√7

Front

What is the first step in simplifying a radical expression?

Back

Identify and combine like terms.

Front

What is the result of adding two radicals that are not like terms?

Back

The result remains as the sum of the two radicals, as they cannot be combined.