The smallest 6 digit number is 100000We find the square root of 100000 with a calculator: = 316.227766 We take the next larger whole number 317 We square 317 317² = 100489 That's the smallest perfect square which is a 6-digit number, because when we square316 we only get 99856 which is a five digit number so 100489 is the smallest 6 digit no which is a perfect square