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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Puzzle Solution

Comment 9 of 9 |

Let T =√(3 - √5) + √(4 + √7) + √(6 - √35)

Then, we have:

T√2 = √(6 -2√5) + √(8+2√7) + √(12 -2√35)

= √5 -1 + √7 +1 + √7 - √5

= 2√7

=> T = (2*√2*√7)/2

=> T = √14

Posted by K Sengupta on 2024-02-23 21:58:40

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