Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

Distributive Property!

OpenStudy (anonymous):

distribute WHAT!!!

OpenStudy (anonymous):

\[(4\sqrt{3} + 5)(3\sqrt{3}+1)\] SORRY

OpenStudy (anonymous):

Lag, haha

OpenStudy (anonymous):

I'm not sure if you end up with two different numbers or three since you can change the square root of 9 to 3 if you multiply.

OpenStudy (anonymous):

I mean if you multiply \[4\sqrt{3} MULTIPLIED 3\sqrt{3}\]

OpenStudy (anonymous):

Read this as 4 x 3 x root3 x root3 = 36

OpenStudy (anonymous):

It wouldn't be 12 root 9?

OpenStudy (anonymous):

Indeed not!

OpenStudy (anonymous):

Remember root 3 x root 3 = 3

OpenStudy (anonymous):

Ohhh! So the root stays the same when multiplying?

OpenStudy (anonymous):

Yes I guess that is a good way to remember.

OpenStudy (anonymous):

Okay. My final answer is 21 root3 + 5

OpenStudy (anonymous):

No that is incorrect I will show you step by step

OpenStudy (anonymous):

Ohhh, alright then.Thank you.

OpenStudy (anonymous):

(4√3 + 5)(3√3 + 1) = 12√3 √3 + 1(4√3 ) + 5(3√3 ) + 5 =36 + (4√3) + 15(√3 ) + 5 = 36 +19(√3) + 5 = 41 +19(√3)

OpenStudy (anonymous):

Any areas of misunderstanding let me know

OpenStudy (anonymous):

In the first line, how come there is a 12 root3 root 3 repeated?

OpenStudy (anonymous):

This is because you have multiplied 4√3 by 3√3 which you can do like this, separate the whole numbers from the surds 4 x 3 x √3 x √3 = 12 x 3 = 36

OpenStudy (anonymous):

Ohhhhh! I understand!

OpenStudy (anonymous):

Good. Are you confident enough to try one by yourself now? If not you know where to come!

OpenStudy (anonymous):

I'm confident! Thanks :) and i will

OpenStudy (anonymous):

Good luck then, arrividerci

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!