Question

a= √5+3 b= 1/a ...find a (squared) + b (
squared)

Answer 1

a=√5+3,

b=1/a=1(√5-3)/(√5+3)(√5-3)

b=(√5-3)/(-4)

a²+b²=(√5+3)²+{(√5-3)/4}²

=5+9+6√5+ {5+9-6√5}/16

=14+6√5+. (7-3√5)/8

={112+48√5+7-3√5}/8

=(119+45√5)/8