(2sqrt(5) + 3sqrt(7)) ^ 2

simplify, show steps.

(2sqrt(5) + 3sqrt(7)) ^ 2

= (2sqrt(5))^2 + 2(2sqrt(5))(3sqrt(7)) + (3sqrt(7))^2 (using the formula (a+b)^2 = a^2 + 2ab + b^2)

= 4(5) + 2(2)(3)(sqrt(5))(sqrt(7)) + 9(7)

= 20 + 12sqrt(35) + 63

= 83 + 12sqrt(35)