Introduction to Programming using Python 1st Edition

Published by Pearson
ISBN 10: 0132747189
ISBN 13: 978-0-13274-718-9

Chapter 5 - Loops - Programming Exercises - Page 160: 5.14

Answer

$Output:$ 110 is the lowest number, such that n^2 is greater than 12,000 Proof: 109 ^2 = 11881.0 Proof: 110 ^2= 12100.0

Work Step by Step

$Statement:$ (Find the smallest n such that $n^2$> 12,000) Use a while loop to find the smallest integer n such that $n^2$ is greater than 12,000. $Code:$ import math n=0 while(math.pow(n,2)<12000): $ $ $ $ $ $ $ $ n=n+1 print(n," is the lowest number, such that n^2 is greater than 12,000") print("Proof: " , (n - 1) , "^2 = " , math.pow(n - 1, 2)) print("Proof:",n,"^2=",math.pow(n,2)) $Output:$ 110 is the lowest number, such that n^2 is greater than 12,000 Proof: 109 ^2 = 11881.0 Proof: 110 ^2= 12100.0
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