Question

Rationalise the denominator 25/root2 +root 5

Answer 1

$\frac{25}{ \sqrt{5} + \sqrt{2} } =$

$\frac{25}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } =$

$25( \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} ) = \frac{25}{3} ( \sqrt{5} - \sqrt{2} )$

Answer 2

Answer:

Step-by-step explanation:

\frac{25}{ \sqrt{5} +  \sqrt{2}  }  =  

\frac{25}{ \sqrt{5}  +  \sqrt{2} }  \times  \frac{ \sqrt{5}  -  \sqrt{2} }{ \sqrt{5}  -  \sqrt{2} }  =  

25( \frac{ \sqrt{5}  -  \sqrt{2} }{5 - 2} ) =  \frac{25}{3} ( \sqrt{5}  -  \sqrt{2} )