Question

please solve sum 10 part B, I mark him as brianlist

Answer 1

$\frac{ \sqrt{11} - \sqrt{7} }{ \sqrt{11} + \sqrt{7} }$



By Rationalization,


$\frac{ \sqrt{11} - \sqrt{7} }{ \sqrt{11} + \sqrt{7} }$×$\frac{ \sqrt{11}- \sqrt{7} }{ \sqrt{11} - \sqrt{7} }$




$\frac{( \sqrt{11} - \sqrt{7} )^2}{( \sqrt{11} )^2 - ( \sqrt{7} )^2}$




$\frac{11 + 7 - 2 \sqrt{77} }{11 - 7 } \\ \\ \frac{2(9 - \sqrt{77} )}{4} \\ \\ \frac{9 - \sqrt{77} }{2} \\ \\ \frac{9}{2} - \frac{ \sqrt{77} }{2}$





Comparing values, we get


a = 9/2 

b = 1/2