Question

Which of the following could be the number shown on the number line? ​

Answer 1

Answer:  Choice A.  $\sqrt{35}$

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Explanation:

Recall that 36 is a perfect square

36 = 6^2

Or in other words, $\sqrt{36} = \sqrt{6^2} = 6$

The point marked on this number line is some value smaller than 6, so the number under the square root must be smaller than 36.

That could apply to either choices A or B.

Using a calculator shows that

$\sqrt{35} \approx 5.916\\\\\sqrt{30} \approx 5.477$

Choice A is the better answer as it's much closer to 6 than choice B is.