Question

Select the point on the number line that best approximates the location of √14

Answer 1

between 3 and 4 around 3
`(3\\)/(4)`

Answer 2

Answer: 3.5

Explanation:

You want to choose two numbers that have perfect roots. One above 14, and one below 14. The nearest two perfect roots to 14 is 9 and 16. We have the following inequality:

`√(9) < √(14) < √(16)`

`3 < √(14) < 4`

This means the square root of 14 is somewhere between 3 and 4. A good estimate would be 3.5