Question

Rationalise ...

1/√5 - 3

...............

Answer 1

$\frac{1}{ \sqrt{5} - 3} \\ \\ = \geqslant \frac{1}{ \sqrt{5} - 3} \times \frac{ \sqrt{5} + 3 }{ \sqrt{5} + 3} \\ \\ = \geqslant \frac{ \sqrt{5} + 3}{ \sqrt{5 {}^{2} } - {3}^{2} } \\ \\ = \geqslant \frac{ \sqrt{5} + 3}{5 - 9} \\ \\ = \geqslant \frac{ \sqrt{5} + 3 }{ - 4} \\ \\ = \geqslant \frac{ - ( \sqrt{5} + 3) }{4} \\ \\ = \geqslant \frac{ - \sqrt{5} - \sqrt{3} }{4}$

Answer 2

$RATIONALISE\: ..$