(2sqrt(5)+3sqrt(7))^2
Show work.
To square the expression, we can use the formula (a+b)^2 = a^2 + 2ab + b^2:
(2sqrt(5) + 3sqrt(7))^2
= (2sqrt(5))^2 + 2(2sqrt(5))(3sqrt(7)) + (3sqrt(7))^2
= 20 + 12sqrt(35) + 21
= 41 + 12sqrt(35)
Therefore, (2sqrt(5) + 3sqrt(7))^2 = 41 + 12sqrt(35).