227k views
1 vote
Add or subtract terms whenever possible

-3√162 + 2√200 - 9√8


a. -187√2


b. -25√2


c. -3√2


d. 187√2

User Vadimchin
by
7.1k points

1 Answer

2 votes

Answer:

b.
-25√(2)

Explanation:

Given:

The expression to simplify is given as:


-3√(162)+2√(200)-9√(8)

Let us simplify each term and then add them together.


-3√(162)=-3√(81*2)=-3* 9√(2)=-27√(2)


2√(200)=2√(100* 2)=2* 10√(2)=20√(2)


-9√(8)=-9√(4*2)=-9* 2√(2)=-18√(2)

Now, add all the results obtained above. This gives,


-27√(2)+20√(2)-18√(2)

Taking
\sqrt2 out as it is a common factor, we get


=√(2)(-27+20-18)\\=\sqrt2(-25)\\=-25√(2)

Therefore, the correct option is b.

User Vinner
by
7.0k points