How to solve this problem? Steps please.

(2√5+3√7)^2

2 answers

just like any other binomial.

(2√5+3√7)^2
= (2√5+3√7)(2√5+3√7)
= (2√5)^2 + 2(2√5)(3√7) + (3√7)^2
= 20 + 12√35 + 63
= 83 + 12√35
apply (a+b)^2=a^2+b^2+2ab