SOLUTION: [sqrt(3+sqrt5)] - [sqrt(3-sqrt5)]^2 = 2

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Question 1117379: [sqrt(3+sqrt5)] - [sqrt(3-sqrt5)]^2 = 2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The statement given is not true because you are only squaring the 2nd term in the left-hand side. If, as I suspect, you actually meant the problem to read:



Then the proof is given below.

Expand the binomial in the LHS



Collect like terms and calculate the product of conjugates in the center term of the LHS





John

My calculator said it, I believe it, that settles it