If frac 2 sqrt 3 - sqrt 2 sqrt 3 2 sqrt 2 m n s... - JAMB Mathematics 2000 Question
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
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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