Question

On a number line, let point P represent the largest integer value that is less than a square root of 223. Let point Q represent the largest integer value that is less than a square root of 68. What is the distance between P and Q?

Answer 1

We have that point P represents the largest integer value that is less than a square root of 223:

$\sqrt{223}=14.93$

The integer is 14. Then P=14.

Let point Q represent the largest integer value that is less than a square root of 68. Then:

$\sqrt{68}=8.24$

The integer is 8. Then q=8.

The distance between P and Q is given by:

P-Q= 14-8= 6

Hence, the distance is given by 6 units.