হরের করণী নিরসন করি: \(\cfrac{2√3+3√2}{√6}\)
\(\cfrac{2\sqrt{3}+3\sqrt{2}}{\sqrt{6}}\)
\(=\cfrac{(2\sqrt{3}+3\sqrt{2})×\sqrt{6}}{\sqrt{6}×\sqrt{6}}\)
\(=\cfrac{2\sqrt{3×6}+3\sqrt{2×6}}{6}\)
\(=\cfrac{2\sqrt{3×3×2}+3\sqrt{2×2×3}}{6}\)
\(=\cfrac{6\sqrt{2}+6\sqrt{3}}{6}\)
\(=\cfrac{\cancel6(\sqrt{2}+\sqrt{3})}{\cancel6}\)
\(=\sqrt{2}+\sqrt{3}\)