Question on: JAMB Mathematics - 2000

If (\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})} = m +n\sqrt{6}), find the values of m and n respectively.

A
1, -2
B
-2, 1
C
\(\frac{-2}{5}\), 1
D
2, 3/5
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Correct Option: B

Rationalize (\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})}) and equate to (m +n\sqrt{6}). Such that m = -2, and n = 1.

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