Question

5-√3 / √3+2 solve it maths lover fastly solve it plz....​

Answer 1

Answer:

$13 - 7 \sqrt{3}$

or,

$- 7 \sqrt{3} + 13$

Step-by-step explanation:

$\frac{5 - \sqrt{3 } }{\sqrt{3} + 2} \\ = \frac{(5 - \sqrt{3})( \sqrt{3} - 2) }{( \sqrt{3} + 2)( \sqrt{3} -2 )} \\ = \frac{5 \sqrt{3} - 10 - 3 + 2 \sqrt{3} }{( \sqrt{3} )^{2} - (2)^{2} } \\ = \frac{7 \sqrt{3} - 13 }{3 - 4} \\ = \frac{7 \sqrt{3} - 13 }{ - 1} \\ = 13 - 7 \sqrt{3}$