
To find: the given square root

Answer to Problem 18SGR
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 415 lies between
The square of the number to be found is415 which lie between two perfect squares.
Hence the number must be between the two integers whose perfect squares have been taken.
Hence
Check the difference of the two perfect squares from the original number.
Check for shorter distance.
Clearly 415 are closer to 400. Hence square root of 415 should have integer estimate of 20.
Conclusion:
Therefore, The square root of
Chapter 10 Solutions
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