## anonymous 5 years ago Distributive Property!

1. anonymous

distribute WHAT!!!

2. anonymous

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

3. anonymous

Lag, haha

4. 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.

5. anonymous

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

6. anonymous

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

7. anonymous

It wouldn't be 12 root 9?

8. anonymous

Indeed not!

9. anonymous

Remember root 3 x root 3 = 3

10. anonymous

Ohhh! So the root stays the same when multiplying?

11. anonymous

Yes I guess that is a good way to remember.

12. anonymous

Okay. My final answer is 21 root3 + 5

13. anonymous

No that is incorrect I will show you step by step

14. anonymous

Ohhh, alright then.Thank you.

15. 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)

16. anonymous

Any areas of misunderstanding let me know

17. anonymous

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

18. 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

19. anonymous

Ohhhhh! I understand!

20. anonymous

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

21. anonymous

I'm confident! Thanks :) and i will

22. anonymous

Good luck then, arrividerci