Question

1 ). If √7-2/√7+2 = a√7+b , then a=?.​

Answer 1

$\huge \sf \color{red}\underline{Answer :}$

$\large \color{blue}\boxed{ b= \frac{11}{3}} , \boxed{a=-\frac{4}{3}√7}$

$\huge \sf \color{red}\underline{Solution :}$

$\large\frac{√7-2}{√7+2}×\frac{√7-2}{√7+2}\\\\ \large = > \frac{7+4+4√7}{7-4}\\ \\ \large = > \frac{11+4√7}{3} \\ \\ \large = > \frac{11}{3} +\frac{4√7}{3}$

$\color{green}━━━━━━━━━━━━━━━━━━━━━━━━━$

Hence,

$\sf \large \bf \color{blue} b=\frac{11}{3} \ , \ a= -\frac{4}{3}√7$

$\color{green}━━━━━━━━━━━━━━━━━━━━━━━━━$