If \(\frac{{22\sqrt 2 }}{{4\sqrt 2 - \sqrt {3\, + \,\sqrt 5 }}}\) = \(a + \sqrt 5 b\), with a, b > 0, then what is the value of (ab) ∶ (a + b)?

1
4 ∶ 7
2
∶ 7
3
∶ 4
4
∶ 8

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