Question 1094427
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Let's apply our common sense (my and yours).


{{{-6/5}}} is near -1.

-3 is obviously less than {{{-6/5}}}.  It lies to the left from {{{-6/5}}} in the number line.


The other three numbers are positive. So, they are certainly greater than these two.


So, the sequence of the numbers starts in this way:

-3, -6/5.   (1)


0.75, as we just noticed, is positive,  and it is lesser than 1.

In opposite,  {{{sqrt(6)}}}  and  {{{sqrt(25)}}}  are, obviously, greater than 1.


So, 0.75 will be the third term in the sequence (1), which now looks like

-3, -6/5,  0.75.     (2)


{{{sqrt(6)}}} is greater than 2, but lesser than 3, while {{{sqrt(25)}}} is simply 5.


Therefore, it is clear to you (and to me) that we can continue and complete the sequence (2) in this way

-3, -6/5, 0.75,  {{{sqrt(6)}}}  and  {{{sqrt(25)}}} = 5


by placing the numbers in accessing order, from least to greatest.
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So, their order, from least to greatest, is exactly the same as in your original post.