Question

Raliomalize the denomination : 6/
(5 √2 -√3)​

Answer 1

$= \frac{6}{5 \sqrt{2} - \sqrt{3} }$

$\frac{6}{5 \sqrt{2} - \sqrt{3} } \times \frac{5 \sqrt{2} + \sqrt{3} }{5 \sqrt{2} + \sqrt{3} }$

$\frac{6(5 \sqrt{2} + \sqrt{3}) }{(5 \sqrt{2} )^{2} - (\sqrt{3})^{2} }$

$\frac{6(5 \sqrt{2} + \sqrt{3}) }{(25 \times 2) - 3}$

$\frac{6 (5\sqrt{2} + \sqrt{3}) }{50 - 3}$

$\frac{30 \sqrt{2} + 6 \sqrt{3} }{47}$

Hope it helps!