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Q: Which number between 100 and 200 is a square number and a multiple of 9?

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100

36

The square numbers between 50 and 100 are 64 (82) and 81 (92).If the number 100 is included then 100 is 102.64, 81,

92 = 81 and 102 = 100 so the square root of any number between 81 and 100 would lie between 9 and 10.

6

81 and 100

4, for a start.

That number is 84.

They are from 11 squared to 22 squared making a total of 12 square numbers between 100 and 500

The number is 54.

There can't be a prime number that has a square root because the square root would be a factor of the number.

90. The Least Common Multiple of 2, 3 and 5 is 30 and the multiple of 30 that is between 80 and 100 is 90.

No, 105 is not a square number. It is between 10^2 (100) and 11^2 (121).

100

108

55

Since 10 squared is 100, and 11 squared is 121, the square root of any number between 100 and 121 will be between 10 and 11.

1225

No number between 55 and 101 is a multiple of 410, though some are multiples of 20. 60, 80 and 100 are the multiples of 20 in that range, but none of them are multiples of 410. So no number between 55 and 101 is a multiple of 410 and 20.

60.

80 and 100 both qualify.

108 is the multiple of 9 between 100 and 110

25

A prime number can't be divided, then it's not a square

289