Please help...math problem
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Please help...math problem

[From: ] [author: ] [Date: 11-11-11] [Hit: ]
......
How do I simplify this without using a calculator?

(sqrt of 2 + 1)^5 + (sqrt of 2 - 1)^5
Please show the way...thanks.

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(sqrt of 2 + 1)^5 + (sqrt of 2 - 1)^5
= (sqrt of 2 + 1)^4 (sqrt of 2 + 1) + (sqrt of 2 - 1)^4 (sqrt of 2 - 1)
= (3 + 2 sqrt of 2)^2 (sqrt of 2 + 1) + (3 - 2 sqrt of 2)^2 (sqrt of 2 - 1)
= (17 + 12 sqrt of 2) (sqrt of 2 + 1) + (17 - 12 sqrt of 2) (sqrt of 2 - 1)
= 34 sqrt of 2 + 24 sqrt of 2
= 58 sqrt of 2
1
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