If \(\dfrac{\sqrt{5+2\sqrt{6}}-\sqrt{5-2\sqrt{6}}}{(4\sqrt{3}-5\sqrt{2})\times(3\sqrt{2}+4\sqrt{3})}=a\sqrt{2}+b\sqrt{3}\), Then the value of (a - b) is:

1
\(\dfrac{1}{3}\)
2
\(-\dfrac{1}{15}\)
3
\(\dfrac{1}{15}\)
4
\(-\dfrac{1}{3}\)

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