To find: the given square root
Answer to Problem 17SGR
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 90 lies between
The square of the number to be found is90which lie 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 90 are closer to 81. Hence negative of square root of 90 should have integer estimate of -9.
Conclusion:
Therefore, the square root of
Chapter 10 Solutions
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