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# If x=3/4 and y=2/5 what is the value of sqrt (x^2 + 6x + 9)

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CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 348 [0], given: 4

If x=3/4 and y=2/5 what is the value of sqrt (x^2 + 6x + 9) [#permalink]  09 Nov 2007, 08:41
If x=3/4 and y=2/5 what is the value of sqrt (x^2 + 6x + 9) - sqrt (y^2 - 2y +1)?

87/20

63/20

47/20

15/4

14/5
VP
Joined: 14 Feb 2005
Posts: 1001
Location: New York
Followers: 5

Kudos [?]: 17 [0], given: 0

Square root is always +ve

so it should be ( x+3 ) - ( 1- y )

As y < 1, the square root value is 1-y not Y-1

Answer is X+y+2 which is 63/20
Manager
Joined: 02 Feb 2007
Posts: 120
Followers: 1

Kudos [?]: 10 [0], given: 0

great point Ozmba, one thing i am not sure of, is what is the reason behind 1-y instead of y-1. If y-1 =0 then y=1. therefore y is not less than 1, it must be one to make it equal.

My way gives a wrong answer which luckily is not in the answer choices, and your way gives the right answer. I am just asking you, in case i will see it during the real thing.

Thanks a lot!
Current Student
Joined: 18 Jun 2007
Posts: 408
Location: Atlanta, GA
Schools: Emory class of 2010
Followers: 10

Kudos [?]: 35 [0], given: 0

When in doubt of the shortcuts, take the long way. Just plug the numbers and solve. Ozmba has done it the quickest way. If you don't understand why it needs to be (1-y) instead of (y-1), just plug numbers and you will see how it works.
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If x=3/4 and y=2/5, what is the value of sqrt(x^2 + 6x + 9) 1 11 Dec 2007, 13:56
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If x=3/4 and y=1/5, what is the value of sqrt(x^2 + 6x + 9) 10 25 Jul 2007, 03:18
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