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3600 is the smallest perfect square divisible by 8,9 and 10.

Work out the prime factorisations for each of the numbers 8, 9, 10:

8 = 23

9 = 32

10 = 2 x 5

So the perfect square must be a multiple of the lcm of 8, 9 & 10 = 23 x 32 x 5 to be divisible by all three numbers.

All perfect squares have even powers for all their primes (in their prime factorisation), so to make all the powers even the smallest multiplier of this is 2 x 5, giving 24 x 32 x 52 = 3600.

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Q: What is the least perfect square divisible by 8 9 10 and how?

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900

Unless I've made a mistake, it's 3600 which is 60 * 60.

3600. None of the other three are divisible by 9 so they don't even get to the starting line.

no, 10 is not a perfect square. in order for a number to be a perfect square, you have to see if the numbers that are multiplied to get it are the same. for example: 2x2=4; 4 is a perfect square. 12x12=144; 144 is also a perfect square 5x2=10 or 10x1=10. 10 isn't a perfect square because 5 and 2, and 10 and 1, are different numbers.

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5.5

It is not a perfect square.

It is not a perfect square.

100 is a perfect squarebecause 100 = 10*10

100 is a perfect squarebecause 100 = 10*10

It is: 470

The square root of 1/100 is 1/10 which is a perfect square but perfect square are usually integers.

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