SOLUTION: Could you please help me simplify this? Simplify.√(1/x^2 -2/xy+1/y^2 ) I can't seem to find any help with this.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Could you please help me simplify this? Simplify.√(1/x^2 -2/xy+1/y^2 ) I can't seem to find any help with this.      Log On


   



Question 277988: Could you please help me simplify this? Simplify.√(1/x^2 -2/xy+1/y^2 )
I can't seem to find any help with this.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify.√(1/x^2 -2/xy+1/y^2 )
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sqrt[(1/x^2) - (2/xy) + (1/y^2)]
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gcd = x^2y^2
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sqrt[(y^2/gcd) - (2xy/gcd) + (x^2/gcd)]
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sqrt[(y^2 - 2xy+ x^2)/gcd]
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sqrt[(y-x)^2/x^2y^2]
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= (y-x)/xy
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Cheers,
Stan H.