## anonymous one year ago simplify 4sqrt400/4sqrt5 Can someone walk me through the steps?

1. anonymous

$\frac{ 4\sqrt{400} }{4\sqrt{5} }$

2. Loser66

|dw:1432774174095:dw|

3. anonymous

the 4 is included not multiplied

4. Loser66

|dw:1432774244043:dw|

5. Loser66

|dw:1432774344642:dw|

6. anonymous

Could you explain the steps and would I need to simplify it further than 4sqrt/80?

7. Loser66

|dw:1432774375098:dw|

8. Loser66

The net is so bad here. So that I try to give you the whole thing first, in case I lost the net again. If you can understand it by yourself, it 's pretty good. If you don't, I explain now.

9. Loser66

1) Since both numerator and denominator both are 4th root, we can combine. And then simplify.|dw:1432774550241:dw|

10. Loser66

2) To take a number out of the root, we need the number has the exponent = the root. In this case, it is 4, so that I tried to get a number ^ 4, that is $$2^4$$ because $$2^4*5 =80$$

11. Loser66

|dw:1432774688887:dw|

12. Loser66

Only 2 can get out of the 4th root, since its exponent is 4 while 5 cannot. Hence 2 goes out of the root and 5 must stay inside ( they have to say "goodbye" to each other. |dw:1432774780928:dw|

13. Loser66

YES? NO??

14. anonymous

yes!!

15. anonymous

plzz give him a meda

16. anonymous

he deserves it

17. anonymous

u forgort me!!