Question

HELP PLEASE

What is the following sum in simplest form?
first one is QUESTION THE REST ARE CHOICES

Answer 1

`√(8)+3√(2)+√(32)\\\\√(4*2)+3√(2)+√(16*2)\\\\2√(2)+3√(2)+4√(2)\\\\9√(2)`

Your answer is the third option.

Answer 2

Answer:
`9√(2)`

Explanation:

The given expression:
`√(8)+3√(2)+√(32)`

We know that

`√(8)=√(2*2*2)\\\\=√(2^2*2)\\\\=2√(2)`

`√(32)\\\\=√(2*2*2*2*2)\\\\=√(4^2*2)\\\\=4√(2)`

Now, substitute the value of
`√(8)` and
`√(32)` in the given expression , we get

`2√(2)+3√(2)+4√(2)\\\\=9√(2)`