Question

Simplify completely:
7√10 - √6 + 2√10

Answer 1

The expression 7√10 - √6 + 2√10 simplifies to 9√10 - √6 by combining like terms, which in this case are those with the same radical part.

Step-by-step explanation:

To simplify the expression 7√10 - √6 + 2√10, we need to combine like terms. Like terms in this case are the terms that have the same radical part. Here, 7√10 and 2√10 are like terms.

Combining these terms we get:

• 7√10 + 2√10 = (7+2)√10 = 9√10

The term √6 does not have a like term, so it remains unchanged. Hence the expression simplifies to:

9√10 - √6

To check if our answer is reasonable, we ensure that we have combined only like terms and that all terms are in their simplest form.