The value of \(\frac{1}{{4 - \sqrt {15} }} - \frac{1}{{\sqrt {15} - \sqrt {14} }} + \frac{1}{{\sqrt {14} - \sqrt {13} }} - \frac{1}{{\sqrt {13} - \sqrt {12} }} + \frac{1}{{\sqrt {12} - \sqrt {11} }} - \frac{1}{{\sqrt {11} - \sqrt {10} }} + \frac{1}{{\sqrt {10} - 3}} - \frac{1}{{3 - \sqrt 8 }}\) is:

1
\(2 - 2\sqrt 2 \)
2
\(4 + 2\sqrt 2 \)
3
\(4 - 2\sqrt 2 \)
4
\(2+ 2\sqrt 2 \)

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