Ask your own question, for FREE!
Mathematics 14 Online
OpenStudy (anonymous):

see attachment (@jim_thompson5910 I know you helped me the last time but this one is different)

OpenStudy (anonymous):

\[(5+2\sqrt{2})(8-3\sqrt{2})\]

OpenStudy (anonymous):

I can help you here

OpenStudy (anonymous):

Do you know how to start it?

OpenStudy (anonymous):

well normly I would distribute but I don't think you can do that on this one?!?

OpenStudy (anonymous):

yes you certainly can :)

OpenStudy (anonymous):

how?

OpenStudy (anonymous):

you would have (5*(-3√2)) + (5*8) + (2√2 *8) - (2√2 *3√2)

OpenStudy (anonymous):

Make sense so far?

OpenStudy (anonymous):

or -(5*3√2) + (5*8) + (2√2 *8) - (2√2 *3√2)

OpenStudy (anonymous):

The second one makes more since and sorry it took so long im doing laundary to?!!? lol

OpenStudy (anonymous):

haha that's ok, so do you know what to do from here?

OpenStudy (anonymous):

do I add all the numbers outside the square

OpenStudy (anonymous):

@snowskimwake

OpenStudy (anonymous):

after you multiply. The next step would be to multiply inside the parenthesis

OpenStudy (anonymous):

This is what I got it to @snowskimwake \[(15\sqrt{2})+(40)+2\sqrt{2}*8)-(2\sqrt{2}*3\sqrt{2})\] now im stuck

OpenStudy (anonymous):

keep going though, you can multiple 2√2 * 8

OpenStudy (anonymous):

its just 16√2

OpenStudy (anonymous):

o okay so the next on would be \[6\sqrt{2}\]

OpenStudy (anonymous):

no, you have to multiple the inside too

OpenStudy (anonymous):

so √2 times √2 = √4

OpenStudy (anonymous):

you would end up with 6√4

OpenStudy (anonymous):

and √4 is just 2, so then 6(2) which is 12

OpenStudy (anonymous):

I thought you leave the number inside the square alone if it is the same

OpenStudy (anonymous):

also you missed a sign, 15√2 should be negative

OpenStudy (anonymous):

only if you are adding or subtracting

OpenStudy (anonymous):

if you are multiplying or dividing you do the same with the inside

OpenStudy (anonymous):

o okay so it you * you will change it?

OpenStudy (anonymous):

yeah, so you would have -15√2+40+16√2−12

OpenStudy (anonymous):

then combine like terms and you got it! :D

OpenStudy (anonymous):

then it would be \[29+\sqrt{2}\]

OpenStudy (anonymous):

28 but yes otherwise you got it

OpenStudy (anonymous):

okay sorry I made a addition mistake thank you!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!