9th grade Algebra.Square roots. I don't understand. Best answer gets 10 points!
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9th grade Algebra.Square roots. I don't understand. Best answer gets 10 points!

[From: ] [author: ] [Date: 12-04-12] [Hit: ]
——————————————————————————————————————-1)sqrt (3) x sqrt(8 ) = sqrt ( 3x8) = sqrt ( 4 x6) = 2 sqrt(6) with sqrt is square root2) (3+ sqrt 7)^2 = 3^2 + 2x3x sqrt 7 + 7 = 16 + 6sqrt 7because (a+b)^2 = a^2 +2ab + b^23. 3- 2sqrt 6 = (sqrt 3 - sqrt 2 )^2=> sqrt ( 3-2sqrt6)= sqrt 3 - sqrt 2 => sqrt 3( 5(sqrt 3 - sqrt 2))i come from vietnam so my english is bad.If you have problem in mathematics, please contact meYM!thuongde95Gmail : gorokimacxim@gmail.com-1)2 radical 6 (radical 3 x radical 8 = radical 24,......
      = √ ̅3̅ (5√ ̅3̅ ) - √ ̅3̅ (2√ ̅6̅   )            ← distributed the √ ̅3̅ ... like a(b+c) = ab+ac
      = 5(√ ̅3̅ )² - 2√ ̅3̅ √ ̅6̅               ← for clarity, I'll put in all the steps from here
      = 5·3 - 2√ ̅3̅·̅6̅ ̅
      = 15 - 2√ ̅3̅·̅3̅·̅2̅ ̅̅
      = 15 - 2√ ̅3̅²̅̅·̅2̅
      = 15 - 2√ ̅3̅²̅̅̅ √ ̅2̅ ̅̅̅
      = 15 - 2·3√ ̅2̅ ̅̅̅
      = 15 - 6√ ̅2̅ ̅̅̅


Hope that helps.
Have a good one!
——————————————————————————————————————

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1)sqrt (3) x sqrt(8 ) = sqrt ( 3x8) = sqrt ( 4 x6) = 2 sqrt(6)

with sqrt is square root
2) (3+ sqrt 7)^2 = 3^2 + 2x3x sqrt 7 + 7 = 16 + 6sqrt 7
because (a+b)^2 = a^2 +2ab + b^2

3. 3- 2sqrt 6 = (sqrt 3 - sqrt 2 )^2
=> sqrt ( 3-2sqrt6)= sqrt 3 - sqrt 2
=> sqrt 3( 5(sqrt 3 - sqrt 2))
i come from vietnam so my english is bad.
If you have problem in mathematics, please contact me
YM! thuongde95
Gmail : gorokimacxim@gmail.com

-
1) 2 radical 6 (radical 3 x radical 8 = radical 24, divide by 4 to get 2 radical 3
2) 16 + 6 radical 7 (foil it out)
3) 15 - 6 radical 2

Sorry, no square root signs on my KB.

EDIT: liz beat me to it! grrr

-
√3 * √8
= √3 * √4√2
= √3 * 2√2
= 2√2√3
= 2√6

(3+√7)^2
= (3+√7)(3+√7)
= 9+3√7+3√7+√7√7
= 9+6√7+√7√7
= 9+6√7+7
= 16+6√7

√3(5√3-2√6)
= 5√3√3 - 2√6√3
= 5(3) - 2√3√2√3
= 15 - 2(3)√2
= 15 - 6√2

-
Answer:
http://www.myalgebra.com/math_image.aspx?p=SMB02RSMB033xSMB02rSMB03SMB02RSMB03SMB02rSMB03+16+6SMB02RSMB037SMB02rSMB03+SMB02RSMB03(15SMB02RSMB033SMB02rSMB03-6SMB02RSMB036SMB02rSMB03)SMB02rSMB03?p=286?p=22

The Steps:

-
1).
√3 x √8
= 2√6

2).
(3 + √7)^2
= 9 + 6√7 + 7
= 2(8 + 3√7)

3).
√3(5√3 - 2√6)
= 15 - 6√2
= 3(5 - 2√2)

-
Very easy just plug into a couculator and on any ipod or iphone or even a normal couculator all computers have one built in just go to the start menu
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