Question

Pls solve this. Equation from number system. ​

Answer 1

Rationalisation of denominator -

$\frac{3}{ \sqrt{48} - \sqrt{75} } \times \frac{ \sqrt{48} + \sqrt{75} }{ \sqrt{48} + \sqrt{75} } \\ \\ \frac{ 3(\sqrt{48} + \sqrt{75}) }{( \sqrt{48} {)}^{2} - ( \sqrt{75} {)}^{2} } \\ \\ \frac{3 \sqrt{48} + 3 \sqrt{75} }{48 - 75} \\ \\ \frac{3 \sqrt{48} + 3 \sqrt{75} }{ - 27} \\ \\ \frac{3 \sqrt{2 \times 2 \times 2 \times 2 \times 3} + 3 \sqrt{5 \times 5 \times 3} }{ - 27} \\ \\ \frac{3 \times 2 \times 2\sqrt{3} + 3 \times 5 \sqrt{3} }{ - 27} \\ \\ \frac{12 \sqrt{3} + 15 \sqrt{3} }{ - 27} \\ \\ \frac{27 \sqrt{3} }{ - 27} \\ \\ - \sqrt{3}$