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
