Answer:
To find two consecutive whole numbers between which √40 lies, we can calculate the square roots of consecutive whole numbers until we find the desired range.
Let's start by calculating the square roots of consecutive whole numbers:
√1 ≈ 1.00
√2 ≈ 1.41
√3 ≈ 1.73
√4 = 2.00
√5 ≈ 2.24
√6 ≈ 2.45
√7 ≈ 2.65
√8 ≈ 2.83
√9 = 3.00
√10 ≈ 3.16
√11 ≈ 3.32
√12 ≈ 3.46
√13 ≈ 3.61
√14 ≈ 3.74
√15 ≈ 3.87
√16 = 4.00
...
Continuing this process, we find that √40 lies between 6 and 7 because:
√36 = 6.00
√37 ≈ 6.08
√38 ≈ 6.16
√39 ≈ 6.24
√40 ≈ 6.32
√41 ≈ 6.40
√42 ≈ 6.48
...
Therefore, the two consecutive whole numbers between which √40 lies are 6 and 7.
Explanation: