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Home › CBSE Class 11 (Commerce) › Mathematics › Binomial Theorem › The value of (sqrt2 + 1)^6 + (sqrt2 - 1)^6 is

The value of (sqrt2 + 1)^6 + (sqrt2 - 1)^6 is

A198
B99
C200
D396
Answer & Solution
Correct answer: A. 198
The sum equals 2(x^6 + 15x^4 + 15x^2 + 1) at x = sqrt2, which is 2(8 + 60 + 30 + 1) = 198.
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