Question

How many whole numbers have a square root ≥4 but <5?

a) 1
b) 2
c) 3
d) 4

Answer 1

There is only one whole number (16) which has a square root that is ≥4 but less than 5, as it is the square of the number 4.

Step-by-step explanation:

To determine how many whole numbers have a square root that is ≥4 but <5, we need to find the squares of numbers and see which ones fall within that range. Since 4² (4 squared) is 16 and 5² is 25, we are looking for the squares of whole numbers that are greater than or equal to 16 but less than 25.

The whole numbers in this range are 16, 17, 18, 19, 20, 21, 22, 23, and 24. When we consider their square roots, only the squares of whole numbers will result in whole numbers. Therefore, the only squares of whole numbers in this range are 16 (4²) and 17, 18, 19, 20, 21, 22, 23, and 24 do not have whole number square roots. In this case, only one whole number (16) has a square root that is ≥4 but less than 5.