## dpflan 4 years ago d=square root of (square root 2 -5 sr 2)^2 +(- sr 3 - seven sr 3)^2

1. dpflan

all right. the equations is. $d = \sqrt{2 - 5 \sqrt{2}} + (-\sqrt{3} - 7 * \sqrt{3})^2$

2. dpflan

is that right?

3. mspicer

well, the 1st sr is over the whole problem....

4. mspicer

nm.....duh

5. mspicer

I've been doing this hw since yesterday, I'm in a dark zone....I am just feed up with gettin to a prob. then stuck, which thats been all 87 prob.

6. dpflan

sorry can you try rewriting the problem

7. dpflan

there are a lot of sqrt's and I can't tell which numbers of grouped under square roots and not, o_0...

8. mspicer

$d=\sqrt (\sqrt 2-5\sqrt2)^2+(-\sqrt 3 -7\sqrt3)^2$

9. mspicer

It sqrt's the whole equation.... make sence? I hope

10. dpflan

ok

11. dpflan

so, let's start with each paranthetical group, focusing on the left one with root(2)

12. dpflan

can you evaluate $\sqrt{2} - 5\sqrt{2}$

13. mspicer

got lost...yep

14. mspicer

-4$-4\sqrt 2$

15. dpflan

now square it

16. mspicer

$-8\sqrt3$

17. mspicer

thats where I'm lost....how do you ^2 a sqrt?

18. dpflan

ok, so a square root is just this: you have a number, x, that you multiply by itself, x * x, to yield another value, x*x = y, so the square root of y is x.

19. mspicer

$do you 16*2 then ^2 or do you ^ the 4 and the 2 separate?$

20. dpflan

square root of 2 is actually a value less than two. if you have multiply $\sqrt{2} * \sqrt{2}$ you'll get 2

21. dpflan

so in that case you had, y = x*x, so the square root of y is x, here you could say that y =2, therefore x = $\sqrt{2}$

22. mspicer

so you get 16 * 2 then square?

23. dpflan

16 *2 is the result of $-4\sqrt{?}$ sqaured

24. dpflan

sorry, that ? is a 2

25. dpflan

i'm confused as to why you square it again?

26. dpflan

you've solved the left paranthetical group, so solve the right

27. mspicer

$d=\sqrt (x2 -x1)^2 +(y2-y1)^2$ right?

28. dpflan

this is the distance equation, yes

29. dpflan

did you solve the problem?

30. mspicer

1024+36864 right?

31. mspicer

sqrt? right?

32. dpflan

so you have 16*2 on the left and what on the right? i get 64 * 3 on the right

33. dpflan

so that is 16*2 + 64*3

34. dpflan

squareroot( 16 *2 + 64*3 ), unless there are other operations missing in the original equation...

35. mspicer

Sorry! I keep gettin stuck with trin to post my comments to you!! I got 1024 + 36864 then sqrt 37288? am I right so far?

36. dpflan

i think the numbers you have are way too big, how did you get 1024?

37. mspicer

I squared the 16*2 and 64*3....?

38. mspicer

Are you still with me? If not then thanx for all your help...if you are then am I right or wher am I going wrong?

39. dpflan

why did you square them?

40. dpflan

you already did, that's how you have 16*2 and not -4*sqrt(2)

41. mspicer

look at the prob again.....in th () you have to get the sqrt down to be squared...

42. mspicer

If not then how do you ^ 2 a sqrt?

43. dpflan

a sqrt is just a number that if you square that number, you get another number...so if you have $\sqrt{2}$, if you square that you get 2. if you "^2 a sqrt" those two operations are cancelling eachother out...so you did this when you found that

44. dpflan

$(-4*\sqrt{2})^2 = 16 * 2$

45. dpflan

right there you squared a square root

46. mspicer

oh, ok....

47. dpflan

rt(2) squared is 2

48. mspicer

so how do I do the -8 sqrt 3 ^2?

49. dpflan

the same way as you did with the left, ;) so what is -8 squared?

50. mspicer

64

51. dpflan

what is $\sqrt{3}$ squared?

52. mspicer

3?

53. dpflan

right

54. dpflan

so you have 16*2 + 64*3

55. mspicer

so i sqrt 160?

56. dpflan

you have 32 + 192

57. dpflan

that is the value you square root

58. mspicer

the 32 is negative?

59. mspicer

no.....

60. dpflan

both value are positive, they were calculated from negative values that you then squared, and when you multiply two negative numbers you get a positive

61. mspicer

So d=14.96?

62. dpflan

right, $\sqrt{204}$

63. mspicer

So you are in Georgia IT?

64. dpflan

65. dpflan

$\sqrt{224}$

66. dpflan

yes, i am

67. dpflan

68. dpflan

where are you from?

69. mspicer

Great Help!! Thanx more than you'll ever know!! Good ol' Tennessee

70. dpflan

right on, no problem, :)

71. mspicer

Maybe you can help me again soon!! God Bless!

72. dpflan

of course, would be glad too

73. dpflan

thanks