Find the nearest integer to the square root of 728.

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answer is B.

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Detailed Solution

Concept- We will first determine between which square values 728 falls. Like in this instance, 728 is located between

and

. The difference between the lower number with 728 and the higher number with 728 will then be discovered. Any instance that provides a lower number will be the closest integer.
We will first determine the values of the squares between the 728 lies.

times 676 is the value of.

is equal to 729 in value. Additionally, 728 sits between 676 and 729.

We'll now calculate the difference between 676 and 728: 728 – 676 = 52.
Finding the difference between 729 and 728 now is 729 – 728 = 1.
One of the discrepancies is 52, while the other is 1, as can be seen.
Therefore, the number 27 is closest to the square root of 728.
Hence, the correct answer is option 2.

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