Question

At what position on the number line is the red dot located?

Answer 1

Answer:

D. $\sqrt{46}$

Step-by-step explanation:

Firstly, we know it's close to 6.75, so we can compute 6.75*6.75 and the product should be close to whatever's under the $\sqrt$. 6.75*6.75 = 45.5625, so we can already answer.

We could also figure out why other answers are bad.

$\sqrt{92} > \sqrt{81} = 9\\\sqrt{56} > \sqrt{49} = 7\\\sqrt{36} = 6$