Question

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Find the greatest 4 digit number and the least 6 digit number which is a perfect square.

Answer 1

Answer:

9801 & 100489

Step-by-step explanation:

9999 is the largest 4 digit number, and 100^2 is 10000, or 1 greater than the largest 4 digit number. This means that the closest square root of the largest perfect square is most likely 99. So 99^2 (9801) is the largest perfect square of four digits. The smallest 6 digit number is 100000 We find the square root of 100000 = 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 square 316 we only get 99856, which is only a 5-digit number.

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Answer 2

Answer:

Greateat 4 digit number which os a perfect square is 9801 (square of 99)

Least six digit number which is a perfect square is100489 ( square of 317)

Step-by-step explanation:

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