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5. between which two consecutive whole numbers does the length of the d…

Question

  1. between which two consecutive whole numbers does the length of the diagonal fall? indicate which whole number it is closer to.

Explanation:

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.

Answer:

The two consecutive whole numbers between which the length of the diagonal lies are 4 and 5, and the diagonal is closer to 4.