## GodBlessYou Group Title Find the square roots... 2 years ago 2 years ago

1. GodBlessYou Group Title

|dw:1337828212155:dw|

2. xRAWRRx3 Group Title

24

3. zepp Group Title

No calculator? o.O

4. xRAWRRx3 Group Title

I memorized my square roots LOL

5. GodBlessYou Group Title

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 Group Title

Haha nice :)

7. GodBlessYou Group Title

I just need to know the process

8. zepp Group Title

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. GodBlessYou Group Title

Thank you.

10. Mertsj Group Title

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

11. zepp Group Title

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

12. amistre64 Group Title

or "long division" works too

13. GodBlessYou Group Title

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 Group Title

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

15. GodBlessYou Group Title

you mean just divide by 2?

16. amistre64 Group Title

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

17. amistre64 Group Title

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

18. zepp Group Title

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

19. zepp Group Title

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

20. amistre64 Group Title

im very existential lol

21. luisrock2008 Group Title

what times what gives you that

22. amistre64 Group Title

i think this times that would work

23. GodBlessYou Group Title

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 Group Title

make it smaller

25. zepp Group Title

\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 Group Title

My method looks quite horrible to look at :S

27. amistre64 Group Title

it needs more colors

28. zepp Group Title

Haha xD

29. GodBlessYou Group Title

So you always use 50 + x as an outline?

30. zepp Group Title

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

31. amistre64 Group Title

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

32. GodBlessYou Group Title

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

33. zepp Group Title

You are welcome :)