Without using a calculator, the values inbetween which the square root of 89 lies are 9 and 10.
To evaluate the problem without the use of a calculator :
The lower bound :
The nearest value which is a perfect square below 89 is 81 ;
Square root of 81 = √81 = 9
The upper bound :
The immediate value beyond 89 which is a perfect square is 100 ;
Square root of 100 = √100 = 10
Therefore, the consecutive integers between which the square root lies is 9 and 10
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