Answer: B.
Step-by-step explanation:
You can rationalize a denominator by multiplying both the numerator and denominator by the radical in the denominator. In this case, it is the square root of 6.
[tex]\frac{\sqrt{3}*\sqrt{6} }{3\sqrt{6}*\sqrt{6} }[/tex]
The square root of 6 multiplied by the square root of 6 is equal to 6, so you can simplify the equation to this:
[tex]\frac{\sqrt{3} *\sqrt{6} }{18}[/tex]
You can multiply simplified radicals together. First, check that 3 and 6 are simplified (their multiples do not include squares. If 8 was in one of the radicals, it could be simplified to 2*square root of 2.)
[tex]\sqrt{3 } *\sqrt{6} = \sqrt{18}[/tex]
Because 18 can be simplified to 9 * 2, and 9 is a square of 3, you can simplify this to [tex]3\sqrt{2}[/tex].
[tex]\frac{3\sqrt{2} }{18} , or \frac{\sqrt{2} }{6}[/tex]
