I need some help with my homework?

Question

I'm in geometry but right now we're doing an algebra review. We ran out of time in class before he could teach us what to do with these types of problems. We're working with the FOIL method, which I understand it and am able to work with it, but I'm just stuck on this problem.

√2(3√2+√5)

I'm just not quite sure how I would go about distrubuting the √2.

I'll be sure to give the best answer 10pts!

Answer 1

multiply √2 by √2 = 2

3 *2 = 6

multiply √2 by √5 = √10

and i guess u can't add a radical so the answer would be

6 + √10

Answer 2

first figure the square root of 2 and square root of 5 then multiply 3 by the square root of 2 then add that to the square root of 5 then multiply all that by the square root of 2.

Answer 3

ok pretty simple first if i were u id distribute

root of 2  times root 2 then root 2 times root of 5

so you end up with

3√4 + √10

so

3(2) + √10

= 6√10

i would just leave it like that bc √10 isnt a perfect square.

i hope that helps :)