Evaluate the following: `\ (sqrt(2)+1)^6+(sqrt(2)-1)^6`

Explanation

To evaluate the expression \( (\sqrt{2}+1)^6 + (\sqrt{2}-1)^6 \), we can use the Binomial Theorem.

### Step-by-Step Solution:

1. **Identify the terms**: We can denote \( x = \sqrt{2} \) and \( a = 1 \). The expression can be rewritten as \( (x + a)^6 + (x - a)^6 \).

2. **Apply the Binomial Theorem**: According to the Binomial Theorem, we have:
\[
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