Distributive Property!
distribute WHAT!!!
\[(4\sqrt{3} + 5)(3\sqrt{3}+1)\] SORRY
Lag, haha
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.
I mean if you multiply \[4\sqrt{3} MULTIPLIED 3\sqrt{3}\]
Read this as 4 x 3 x root3 x root3 = 36
It wouldn't be 12 root 9?
Indeed not!
Remember root 3 x root 3 = 3
Ohhh! So the root stays the same when multiplying?
Yes I guess that is a good way to remember.
Okay. My final answer is 21 root3 + 5
No that is incorrect I will show you step by step
Ohhh, alright then.Thank you.
(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)
Any areas of misunderstanding let me know
In the first line, how come there is a 12 root3 root 3 repeated?
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
Ohhhhh! I understand!
Good. Are you confident enough to try one by yourself now? If not you know where to come!
I'm confident! Thanks :) and i will
Good luck then, arrividerci
Join our real-time social learning platform and learn together with your friends!