Question

a(a/roota²+b²) + b(b/roota²+b²).. answer is root a²+b².. please explain it​

Answer 1

a[a/√(a^2+b^2)]+b[b/√(a^2+b^2)]

=a^2/√(a^2+b^2)+b^2/√(a^2+b^2)

=(a^2+b^2)/√(a^2+b^2)

=√(a^2+b^2)