Question

simplify:
5+√3/7-4√3​

Answer 1

Answer:

Here is your solution.. Thanks

Answer 2

Answer :

Rationalise the denominator :

$\implies \dfrac{5 + \sqrt{3} }{7 - 4 \sqrt{3} } \times \dfrac{7 + 4 \sqrt{3} }{7 + 4 \sqrt{3} }$

$\implies \dfrac{(5 + \sqrt{3})(7 + 4 \sqrt{3} )}{(7 - 4 \sqrt{3})(7 + 4 \sqrt{3}) }$

$\small{By \:using \:(a+b)(a-b) \:= \:a^2\: - \:b^2}$

$\implies \dfrac{35 + 20 \sqrt{3 } + 7 \sqrt{3} + 12 }{ {(7)}^{2} - {(4 \sqrt{3} )}^{2} }$

$\implies \dfrac{47 + 27 \sqrt{3} }{49 - 48}$

$\implies 47 + 27 \sqrt{3}$