হরের করণী নিরসন করো : \(\cfrac{12}{\sqrt{15}-3}\) Madhyamik 2022


\(\cfrac{12}{\sqrt{15}-3}\)
\(=\cfrac{12(\sqrt{15}+3)}{(\sqrt{15}-3)(\sqrt{15}+3)}\)
\(=\cfrac{12(\sqrt{15}+3)}{(\sqrt{15})^2-(3)^2}\)
\(=\cfrac{12(\sqrt{15}+3)}{15-9}\)
\(=\cfrac{\cancel{12}2(\sqrt{15}+3)}{\cancel6}\)
\(=2(\sqrt{15}+3)\)

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