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Rationalise 3/5-√4 ..............

Answer»

\frac{3}{5 - \sqrt{4} } \\ \\ = \geqslant \frac{3}{5 - \sqrt{4} } \times \frac{ 5 + \sqrt{4} }{5 + \sqrt{4} } \\ \\ = \geqslant \frac{15 + 3 \sqrt{4} }{ {5}^{2} - { \sqrt{4} }^{2} } \\ \\ = \geqslant \frac{15 + 3 \sqrt{4} }{25 - 4} \\ \\ = \geqslant \frac{15 + 3 \sqrt{4} }{21} \\ \\ = \geqslant \frac{3(5 + \sqrt{4} )}{21} \\ \\ = \geqslant \frac{5 + \sqrt{4} }{7}


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