Respuesta :

Answer:

  see below

Step-by-step explanation:

The sum is irrational, so can only be indicated or approximated.

[tex]\dfrac{1}{6}+\sqrt{6}=\dfrac{1+6\sqrt{6}}{6}\approx 2.61615\,64094\,49844\,76486\,39507\,4137\dots[/tex]

For this case we must find the sum of the following expression:

[tex]\frac {1} {6} + \sqrt {6}[/tex]

We have that when entering [tex]\sqrt {6}[/tex] in a calculator we obtain:

[tex]\sqrt {6} = 2.45[/tex]

On the other hand:

[tex]\frac {1} {6} = 0.16[/tex]periodic number

So, the expression is:

[tex]\frac {1} {6} + \sqrt {6} = 2.62[/tex]

Answer:

2.62