SOLUTION: Can you help me with rationalizing the denominator on the following: 2/(sqrt2 -1). I deeply appreciate your help..:)

Question 64147: Can you help me with rationalizing the denominator on the following: 2/(sqrt2 -1). I deeply appreciate your help..:)
Found 2 solutions by tutorcecilia, stanbon:
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!

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[the denominator is the difference of two squares. the middle term drops out. also, the (sqrt(a)(sqrt(a) = a]
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Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you help me with rationalizing the denominator on the following:
2/(sqrt2 -1).
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Multiply numerator and denominator by (sqrt2+1) which is the
conjugate of the denominator you have in your problem:
=[2*(sqrt2+1)]/[(sqrt2-1)(sqrt2+1)]
=[2*(sqrt2+1)]/[(sqrt2)^2 - 1^2]
=[2*(sqrt2+1]/1
=2sqrt2+2
Cheers,
stan H.
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