which of the following is closest to the approximate value of

The given number is:
[tex]10\sqrt[]{3}[/tex]To find the number which is closest to its approximate value first we need to know the result of the square root of 3:
[tex]\sqrt[]{3}\approx1.73[/tex]Now, if we multiply this by 10, we obtain:
[tex]10\cdot1.73=17.3[/tex]So, the number which is closest to this value is 17.