Simplify. Assume that all variables represent positive real numbers.
-$\frac{-50}{\sqrt{13}+\sqrt{3}}$
A) $-(\sqrt{13}-\sqrt{3})$
B) $-5(\sqrt{13}-\sqrt{3})$
C) $5(\sqrt{13}-\sqrt{3})$
D) $-5(\sqrt{13}+\sqrt{3})$

Question

Quizplus · Accepted Answer

To simplify the expression $\frac{-50}{\sqrt{13}+\sqrt{3}}$, we multiply the numerator and the denominator by the conjugate of the denominator, which is $\sqrt{13}-\sqrt{3}$. This process eliminates the square root in the denominator. The simplification leads to option B, $-5(\sqrt{13}-\sqrt{3})$, as the correct answer.

Simplify Assume That All Variables Represent Positive Real Numbers −5013+3\frac{-50}{\sqrt{13}+\sqrt{3}}13​+3​−50​ A) −(13−3)-(\sqrt{13}-\sqrt{3})−(13​−3​)

Simplify Assume That All Variables Represent Positive Real Numbers $\frac{-50}{\sqrt{13}+\sqrt{3}}$ A) $-(\sqrt{13}-\sqrt{3})$