Question

How many integers are between sqrt 37 and 5*sqrt 11?

Answer 1

There are 10 integers between the given values

Explanation:

We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

`√(37) \approx6.0827`

then this point is located in between the integers 6 and 7 on the x-axis.

`5\,√(11) \approx 16.58`

therefore, it is located between the integers 16 and 17 on the number line.

Then between
`√(37)`, and
`5\,√(11)`, we have the following integers:

7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

That is 10 integers