Question

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

Answer 1

Answer:

between 3 and 4 around 3$\frac{3\\}{4}$

Answer 2

Answer: 3.5

Step-by-step 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:

$\sqrt{9} < \sqrt{14} < \sqrt{16}$

$3 < \sqrt{14} < 4$

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