Question

If a = 8 + 3√7 and b = 1 / a , what will be the value of 2+ 2.

Answer 1

Step-by-step explanation:

A=8+3√7 b=1/a =1/8+3√7

= 8-3√7/1 (on rationalising)

now a= 8+3√7 b=8-3√7 b= 8-3√7

therefore a2+b2 =( 8+3√7 )2 + ( 8-3√7 )2

=( 64 + 63 + 48 √7 ) + ( 64+63-48√7 )

a2+b2= 254