Two easy Math task with deduction?

Mathematics
Tutor: None Selected Time limit: 1 Day

Please deduct it and tell me how you got the answer. Thank you in advance!

347:http://i57.tinypic.com/28tl408.jpg

350: http://i61.tinypic.com/105nomg.jpg

Oct 5th, 2015

Hello!

347: sqrt[sqrt(41) + 4sqrt(2)] * sqrt[sqrt(41) - sqrt(32)] = 

sqrt[(sqrt(41) + sqrt(32)) * (sqrt(41) - sqrt(32)) =

sqrt(41 - 32) = sqrt(9) = 3.


350: [sqrt(12 + sqrt(23)) + sqrt(12 - sqrt(23))]^2 = 

(12 + sqrt(23)) + (12 - sqrt(23)) + 2*sqrt[(12 + sqrt(23))*(12 - sqrt(23))] = 

24 + 2*sqrt[12^2 - 23] = 24 + 2*sqrt(121) = 24 + 2*11 = 24 + 22 = 46.


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Oct 5th, 2015

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