Question

What is the following quotient? sqrt 6 + sqrt 11 / sqrt 5 +sqrt 3

Answer 1

The answer is B) Link below

Answer 2

Answer:

$\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{\sqrt{30} - \sqrt{18} + \sqrt{55} - \sqrt{33}}{2}$

Step-by-step explanation:

Let's translate what you've written in words to an expression with mathematical symbols.

$\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}}$

To solve this, you need to multiply both the numerator and denominator with the conjugate of the denominator.

$\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{\sqrt{30} - \sqrt{18} + \sqrt{55} - \sqrt{33}}{2}$