Question

Divide and then simplify the answer

Answer 1

Answer:

B) $\frac{\sqrt{3} + \sqrt{6} }{8}$

Step-by-step explanation:

The given expression is $\frac{(3 + \sqrt{18} }{4\sqrt{12} }$

We should not have the radical sign in the denominator. To get rid of the radical number, we multiply both the numerator and the denominator by 4√12.

= $\frac{(3 + \sqrt{18} }{4\sqrt{12} } * \frac{4\sqrt{12} }{4\sqrt{12} }$

= $\frac{12\sqrt{12} + 4\sqrt{18} \sqrt{12} }{16*12}$

= $\frac{24\sqrt{3} + 24\sqrt{6} }{192}$

= $\frac{24(\sqrt{3}+\sqrt{6} ) }{192}$

Now we can cancel out 24/192, which is 1/8

= $\frac{\sqrt{3}+\sqrt{6} }{8}$

Answer is B.

Thank you.