Question

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

Answer 1

Answer:

There are 10 integers between the given values

Step-by-step explanation:

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

$\sqrt{37} \approx6.0827$

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

$5\,\sqrt{11} \approx 16.58$

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

Then between $\sqrt{37}$, and $5\,\sqrt{11}$, we have the following integers:

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

That is 10 integers