## anonymous 4 years ago Find the square roots...

1. anonymous

|dw:1337828212155:dw|

2. anonymous

24

3. zepp

No calculator? o.O

4. anonymous

I memorized my square roots LOL

5. anonymous

How do you know its 24? How do you get that? Yes I have a calcualtor. They want me to use the factoring method or the extracting method.

6. zepp

Haha nice :)

7. anonymous

I just need to know the process

8. zepp

Oh, then you'll have to go crazy and do $$\sqrt{2*288}$$ $$\sqrt{2*2*144}$$ .... $$\sqrt{2*2*2*2*2*2*3*3}$$

9. anonymous

Thank you.

10. Mertsj

$\sqrt{576}=\sqrt{2\times2\times \times2\times2\times2\times2\times3\times3\times}=\sqrt{2^6\times3^2}=2^3\times3=24$

11. zepp

Then $$\sqrt{2^6*3^2}=2^3*3=24$$

12. amistre64

or "long division" works too

13. anonymous

What I also want to know is how to do the square root of 2,916. They literally want me to write all that out. Where do I start?!

14. amistre64

divvy it up into parts of "2" and the algorithm is a sort of long hand division

15. anonymous

you mean just divide by 2?

16. amistre64

5 4 _________ /29 16 25 ---- 10,4 /416 416 answer is 54

17. amistre64

its an alogrithm based off of x^2 + 2xy + y^2

18. zepp

$$\large (50+x)^2=2916$$

19. zepp

:( stealing my words lol @amistre, you exist twice D: http://puu.sh/ws3B

20. amistre64

im very existential lol

21. anonymous

what times what gives you that

22. amistre64

i think this times that would work

23. anonymous

That actually is the problem i dont understand. How do you find what goes into such a big number I get the general idea of how to work these it is just that though. :/

24. amistre64

make it smaller

25. zepp

\large \begin{align} (50+x)^2&=2916 \\ 50^2 + 2*50x + x^2 &= 2916 \\ 2500+100x+x^2&=2916 \\ x^2+100x-416&=0 \\ (x+4)(x-104)&=0 \\ x &=4~or104 \end{align}

26. zepp

My method looks quite horrible to look at :S

27. amistre64

it needs more colors

28. zepp

Haha xD

29. anonymous

So you always use 50 + x as an outline?

30. zepp

Depends, because the nearest number squared is 50(50^2 =2500)

31. amistre64

50*50 = 2500 60*60 = 3600 use the one thats closer to 2900

32. anonymous

Ok. I will have to go over this. Thank you all! :D

33. zepp

You are welcome :)