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Question
- between which two consecutive whole numbers does the length of the diagonal fall? indicate which whole number it is closer to.
Step1: Find the range of $\sqrt{18}$.
We know that $4^2=16$ and $5^2 = 25$. Since $16<18<25$, we have $4<\sqrt{18}<5$.
Step2: Determine the closer whole - number.
Calculate the differences: $18 - 16=2$ and $25 - 18 = 7$. Since $2<7$, $\sqrt{18}$ is closer to 4.
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The two consecutive whole numbers between which the length of the diagonal lies are 4 and 5, and the diagonal is closer to 4.