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Q: Least 5 digit number which is a perfect square?

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1024

1024

x64 is not a perfect square any number if it is a 3-digit perfect square and ending with 4 it can be 144,324 ,484 and 784 because the number is ending with 4 but the tens digit is not matching to any of the option so it is not a perfect square

4,624 = 682

100,489 = (317)2

One hundred is the least three-digit square number. It is formed by 102.

No. The smallest 2 digit number is 10 the smallest 3 digit number is 100 - so the question is whether (100-10) is a perfect square? No - 90 is not a perfect square. 8x8 is 64 and 9x9 is 91, not 90.

729

100489 is the lowest perfect square number.

1600 (square of 40)

102 = 100 which is the first possible three digit number that is a perfect square. 312 = 961 which is the last possible three digit number that is a perfect square. So there are 22 three digit positive numbers that are perfect squares.

729, cube of 9 and square of 27

The largest 3-digit number - not itself a perfect square - is 999. Calculate its square root, round the answer down, then square the answer again.

It is 998001.

I am pretty sure you can figure this out on your own. Raise different numbers to the square, until you get a 4-digit result. Similary, calculate the cube of different numbers, until you get a 4-digit number. If you want the SAME number to be both a perfect square and a perfect cube, then it must be a power of 6. In that case, just experiment raising different numbers to the sixth power, until you get a 4-digit number.

STEP 1-First do prime factorization of 3610 STEP 2-Make pairs for each (2 numbers of the same value)STEP 3-The digit which is left alone is the least number to be multiplied by 3601 to make it a perfect square.

Several ways:Smallest 3 digit integerLog10(Googol)A perfect square

The least 2-digit prime number is 11. Thus, 11 squared is 121.

99801 is the greatest 5 digit number * * * * * 99801 is not a perfect square! Sqrt(99801) = 315.91 (approx). The largest 5 digit perfect square is 99856 = 3162

As 1 million is the lowest 7-digit number and also the square of one thousand, the number you seek is the square of 999, which I'm sure you can calculate!

22

The largest 5 digit perfect square is 99856 = 3162

121

121

10000 is the square of 100 so you're looking for the square of 99 which is 9801.