Question

How many integers fall between $\sqrt5$ and $\sqrt{50}$ on a number line?

Answer 1

Answer: 5

Explanation:

An integer is a whole number (not a fraction). To find how many integers are in between
`√(5)` and
`√(50)`, we will find the square roots and then count the number of integers between.

First, we will find the least end. The smallest perfect square root that is larger than the root of 5 is
`√(9)` = 3. This lines up with
`√(5)` = 2.236.

Next, we'll find the greater end. The largest perfect square root that is smaller than the square root of 50 is
`√(49)` = 7. This lines up with
`√(50)` = 7.071.

Now, we will simply count the whole numbers (integers) between 3 and 7 including them (since 3 > 2.2 and 7 < 7.07).

[1] 3 [2] 4 [3] 5 [4] 6 [5] 7

There are 5.