Question

Every simplification I enter is incorrect

Answer 1

$\frac{6}{4-\sqrt{5}}$
multiply numerator and denominator by the conjugate of the denominator 4+sqrt(5)
$=\frac{6(4+\sqrt{5})}{(4-\sqrt{5})(4+\sqrt{5})}$
$=\frac{24+6\sqrt{5}}{16-5}$
$=\frac{24+6\sqrt{5}}{11}$
$=\frac{24}{11}+\frac{6\sqrt{5}}{11}$