Question

Evaluate the following expression: ((2) + (√3))/((2) - (√3))

Answer 1

Answer:

$7+4\sqrt{3}$

Step-by-step explanation:

[ 2+√3/2-√3]

rationalizing the denominator,

$[\frac{2+\sqrt{3} }{2-\sqrt{3} } ][\frac{2+\sqrt{3} }{2+\sqrt{3} } ]$

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

$\frac{(4 +3+4\sqrt{3}) }{4-3}$

$7+4\sqrt{3}$