Simplify the expression. 4 √6 + 5 √6

Question

anonymous · Answer

attachment

e.mccormick · Answer

Radicals are kind of like fractions.  If what is on the bottom of a fraction matches, they can be added or subtracted, but they can always be multiplied.  Well, that also applies to radicals.  If what is under the radical matches, they can be added!  And they can always be multiplied.

ja1 · Answer

Yupp yupp yupp,if the numbers in the radicand (√) match in can be subtracted/added

ja1 · Answer

So does:

$$4\sqrt{6} + 5\sqrt{6}$$have the same numbers in the radicand (√) ?

e.mccormick · Answer

Or in math, what I said is: 

$a\sqrt{x}+b\sqrt{x}=(a+b)\sqrt{x}$
and
$a\sqrt{x}\cdot b\sqrt{y}=a b\sqrt{x y}$
but
$a\sqrt{x}+b\sqrt{y}\ne (a+b)\sqrt{x+y}\, \leftarrow$ this is not allowed!

ja1 · Answer

Yupp good one @e.mccormick

ja1 · Answer

@haole I hope you are not expecting us to give you the answer....

jamierox4ev3r · Answer

maybe he is @JA1 O.O oh well, we can't because of the CoC here at OpenStudy.... sorry @haole

ja1 · Answer

He probably is because he has been waiting for the past 28 minutes...

anonymous · Answer

no lol im taking my test and this tab is open sorry!

anonymous · Answer

i got B

ja1 · Answer

Not quite

ja1 · Answer

Wait, @e.mccormick help me out here, I forgot if you add the √6 together or just leave it at √6 ?

e.mccormick · Answer

$3\sqrt{x}=\sqrt{x}+\sqrt{x}+\sqrt{x}$

ja1 · Answer

Okey got it C:

ja1 · Answer

Sorry I am braindead at 12 Am anyways so s I was saying

ja1 · Answer

You should leave whats in the inside (√) inside and the outside outside

ja1 · Answer

So only add 5 and 4 then simplify if necessary

ja1 · Answer

So I ask again:

What is 4√6 + 5√6 ? Remember you leave the radicand (Numbers in the √) alone and only add the outside.

anonymous · Answer

i got it. it's D 
thank you so much! made it much easier for me. 9√6

ja1 · Answer

Yupp you got it :D