simplify (2√5+3√7)^2 show your work. Justify each step
(2√5+3√7)^2
= (2√5+3√7)(2√5+3√7) (expand the expression)
= 4(5) + 2(3)(2)(√5)(√7) + 3(7) (expand using FOIL method)
= 20 + 12√35 + 21 (multiply and simplify)
= 41 + 12√35 (combine like terms and simplify)