10.2k views
3 votes
Simplify.

4√6+2√6−√6

A- 5√18
B-5√6
C-6√6
D- 6√18

2 Answers

1 vote

Answer:

B

Explanation:

Simplifying radicals is similar to collecting like terms in algebra.

Here, the like terms are the radicals

Given

4
√(6) + 2
√(6) -
√(6)

=
√(6)(4 + 2 - 1 )

= 5
√(6) → B

User Alfred Godoy
by
5.4k points
4 votes

Answer:

B. 5√6

Explanation:

These are all like terms or like radicals so we can just do the operations. When we say like radicals they have the same root and radicand.

ex.

√ab and √ab

3√3 and 2√3

Notice that both have √3, same root and same radicand so they are like terms.

Now going back to your problem:

4√6 + 2√6 - √6

Just add/subtract the coefficients and copy the radicand since they are like radicands.

4√6 + 2√6 - √6

= 6√6 - √6

= 5√6

User Edub
by
5.6k points
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