Question

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

Answer 1

D.
`√(46)`

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.

`√(92) > √(81) = 9\\√(56) > √(49) = 7\\√(36) = 6`