If (2√3−√2)(√3+2√2)=m+n√6 ( 2 3 − 2 ) ( 3 + 2 2 ) = m + n 6 , find the values of m and n respectively.

Question 1 Report

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

1, -2

-2, 1

\frac{- 2}{5}

, 1

2, 3/5

Answer Details

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.