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The expresion SQRT(57-40*SQRT2) - SQRT(57+40*SQRT2) is equal

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CEO
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The expresion SQRT(57-40*SQRT2) - SQRT(57+40*SQRT2) is equal [#permalink] New post 06 Dec 2003, 14:59
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6. The expresion SQRT(57-40*SQRT2) - SQRT(57+40*SQRT2) is equal to :

a. 10 b. -10 c. 101/10 d.-101/10 e.-SQRT41
Director
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 [#permalink] New post 07 Dec 2003, 05:01
Raise the whole expression to power 2 and solve it. Think it should be 10..
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 [#permalink] New post 09 Dec 2003, 01:57
squaring the entire expression

if a = 57
and b = 40*2^1/2

a^2 + b^2 -2((a+b)(a-b))^1/2. siplyfiy to get 114-2(49)^1/2 = 100

Ans = 10
Senior Manager
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 [#permalink] New post 13 Dec 2003, 07:20
is bat_car's work correct?

How would you get a^2 + b^2 -2((a+b)(a-b))^1/2
shouldn't it be 2a -2((a+b)(a-b))^1/2

also the value of the squared expression comes to be 100

so taking its square root how do we get only 10. Shouldn't it be -10 as well??
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 [#permalink] New post 12 Jan 2004, 22:32
End result of whole expression squared is 100. SO sqrt of 100 either -10 or +10.
But if you see the orginal expression

SQRT(57-40*SQRT2) < SQRT(57+40*SQRT2)
SO the answer should be -10
Senior Manager
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 [#permalink] New post 04 Feb 2004, 13:58
I agree with Anand.

The answer should be -10.
  [#permalink] 04 Feb 2004, 13:58
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The expresion SQRT(57-40*SQRT2) - SQRT(57+40*SQRT2) is equal

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