Answer :
Answer: [tex]12+2\sqrt{35}[/tex]
Step-by-step explanation:
[tex](\sqrt{5}+\sqrt{7}) ^{2} \\[/tex]
= [tex](\sqrt{5}) ^{2} + 2*\sqrt{5} * \sqrt{7} + (\sqrt{7} )^{2}[/tex] ( Since [tex](a+b)^{2} = a^{2} + 2ab + b^{2}[/tex] )
= [tex]5 + 2\sqrt{35} + 7[/tex]
= [tex]12+ 2\sqrt{35}[/tex]
So, option D is correct.