
To find: the given square root

Answer to Problem 16SGR
The square root of
Explanation of Solution
Given:
Calculation:
The objective of the question is to estimate the square root of
In order to solve this problem, take the number whose square root is to be found and check for the two perfect squares between which the given number lies.
Clearly 52 lies between
The square of the number to be found is 52 whichlie between two perfect squares.
Hence the number must be between the two integers whose perfect squares have been taken.
But negative of square root is given.
Thus the range will be same but sign will be reverse.
Hence
Check the difference of the two perfect squares from the original number.
Check for shorter distance.
Clearly 52 is closer to 49. Hence negative of square root of 52 should have integer estimate of -7.
Conclusion:
Therefore, the square root of
Chapter 10 Solutions
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