Question

Rationalize the denominator and simplify
2/(4- sqrt5)

Answer 1

multiply both numerator and denominator with 4+sqrt5

Answer 2

@jmallis in previous question. I had solved by rationalizing the denominator . Can you try it here also.
I'll give you a hint use \(4+\sqrt{5}\) to rationalize the denominator

Answer 3

\[\frac{2}{4-\sqrt{5}}\times \frac{4+\sqrt{5}}{2+\sqrt{5}}\]is a start. multiply top and bottom by conjugate of the bottom

Answer 4

8+2sqrt5/11 ?

Answer 5

Yeah you're right. Great work:D