Answer: [tex]((\sqrt{5})(\sqrt{11}) + (\sqrt{5})(\sqrt{3} ))/8[/tex] (The 2nd option)
Step-by-step explanation:
Rationalizing the denominator, we get:
[tex]\frac{5}{\sqrt{11} - \sqrt{3}}[/tex] multiplied by [tex]\frac{{\sqrt{11}+\sqrt3}}{{\sqrt{11}+\sqrt3}}[/tex] as the bottom comes to equal 8. Then, you distribute the 5 over the numerator to get the desired.
