(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)
(2sqrt(5) + 3sqrt(7)) ^ 2
simplify, show steps.
1 answer