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QUESTION
Explain why the square root of 89 must be between 9 and 10?
##9 < sqrt(89) < 10##
We have ##81 = 9^2 < 89 < 10^2 = 100## and ##sqrt(x)## is monotonic for ## 0 < x < infty ## which means that if ##0 < x_1 < x_2->sqrt(x_1) < sqrt(x_2)## then ##9 < sqrt(89) < 10##
