হরের করণী নিরসন করি: \(\cfrac{3√2+2√3}{3√2-2√3}\)


\(\cfrac{3√2+2√3}{3√2-2√3}\)
\(=\cfrac{(3√2+2√3)(3√2+2√3)}{(3√2-2√3)(3√2+2√3)} \)
\(=\cfrac{18+6√6+6√6+12}{(3√2)^2-(2√3)^2}\)
\(=\cfrac{30+12√6}{18-12} \)
\(=\cfrac{6(5+2√6)}{6}\)
\(=5+2√6\)

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