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Find two consecutive whole numbers that sqrt40 lies between

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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:

User Rawand Saeed
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