Question

rationalise the denominator of 3/5-√6​

Answer 1

Answer:

your answer is

$\frac{15 + 3 \sqrt{6} }{19}$

Step-by-step explanation:

$\frac{3}{5 - \sqrt{6} }$

$= \frac{3}{5 - \sqrt{6} } \times \frac{5 + \sqrt{6} }{5 + \sqrt{6} }$

$= \frac{3(5 + \sqrt{6)} }{(5 - \sqrt{6})(5 + \sqrt{6}) }$

$\frac{15 + 3 \sqrt{6} }{25 - 6}$

$= \frac{15 + 3 \sqrt{6} }{19}$