Question

If a=2+√3+√5 and b=3+√3-√5. Find : (a-2)²+(b-3)²

Answer 1

(2+√3+√5-2)^2 + (3+√3-√5-3)^2=(3+ 2*√3*√5 +5) + (3 - 2*√3*√5 +5)
=8 + (2*√3*√5) + 8 - (2*√3*√5)
=8 + 8
=16

Answer 2

Answer:

16

Step-by-step explanation:

(2+√3+√5-2)^2 + (3+√3-√5-3)^2=(3+ 2*√3*√5 +5) + (3 - 2*√3*√5 +5)

=8 + (2*√3*√5) + 8 - (2*√3*√5)

=8 + 8

=16