perplexus.info :: Just Math : It's all in the roots!

It's all in the roots! (Posted on 2004-06-04)

Simplify the following:
√(3 - √5) + √(4 + √7) + √(6 - √35)

No Solution Yet Submitted by Purna

Rating: 3.2857 (7 votes)

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Long answer

| Comment 1 of 9

Since √(a±√b))= √½(a+c) ±√½(a-c) if c=√(a²-b), then the sum turns into √(5/2)-√(1/2) + √(7/2)+√(1/2) + √(7/2)-√(5/2) = √14.

Posted by e.g. on 2004-06-04 12:50:10

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