54289 = 233^2
You know the last digit of the squared number is 3 or 7, so just try numbers ending with those from 220 to 250
Answer:
54289.
Explanation:
The square root will be a 3 digit number and as the last digit of the given number is 9 the last digit of the square root will be a 3 or a 7.
√50000 = 223.6 and the √60000 = 244 so we try the following numbers:
243^2 = 59049 NO
237^2 = 56169. NO
233^2 = 54289 YES.
