## Elementary Algebra

We multiply the two expressions using the distributive property to check the answer: $(5+\sqrt 3)(-5-\sqrt 3)$ =$5(-5-\sqrt 3)+\sqrt 3(-5-\sqrt 3)$ =$-25-5\sqrt 3-5\sqrt 3-\sqrt 3\sqrt 3$ =$-25-10\sqrt 3-\sqrt 3\sqrt 3$ =$-25-10\sqrt 3-(\sqrt 3)^{2}$ =$-25-10\sqrt 3-3$ =$-25-3-10\sqrt 3$ =$-28-10\sqrt 3$ Thus, the question statement is false.