Answer
True
Work Step by Step
We use the rule $(a+b)(a-b)=a^{2}-b^{2}$ to multiply the two terms:
$(2\sqrt 3+\sqrt 5)(2\sqrt 3-\sqrt 5)$
=$(2\sqrt 3)^{2}-(\sqrt 5)^{2}$
=$[2^{2}\times (\sqrt 3)^{2}]-(\sqrt 5)^{2}$
=$[4\times 3]-(5)$
=$[12]-(5)$
=$7$
Therefore, the question statement is true.
