Question

Rationalize the denominator of 1/4+root5​

Answer 1

Pls mark as brainliest answer

Answer 2

Step-by-step explanation:

Hello, hope this may help u,

Rationalising the denominator of the given irrational no by conjugation method,

$\frac{1}{4+\sqrt{5} }$  =  $\frac{1}{4+\sqrt{5} } * \frac{4-\sqrt{5} }{4-\sqrt{5} }$

         =  $\frac{4-\sqrt{5} }{4^{2} -(\sqrt{5} ^{2}) } }$                  

{using the identity (a+b)(a-b)= a^2- b^2,  in the denominator}      

 =  $\frac{4-\sqrt{5} }{16 - 5}$        

{ cancelling out the root and square in 5 root the whole square}

= $\frac{4-\sqrt{5} }{11}$.