I'll suggest a simple way.
There are a pair of digits, the number is even and a multiple of 11.
There are 4 such numbers,
22, 44, 66 and 88.
Basically each number multiplied by itself makes a square number. So they all satisfy the final condition.
But only 88 satisfies all conditions as 8x8 = 64
64 is a square of 8 and a cube of 4.
therefore your number is 88.
2006-10-23 21:24:25
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answer #1
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answered by Akilesh - Internet Undertaker 7
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Two equal digits when multiplied must make a square anyway, so that tells us nothing. If the digits multiplied make a cube, then each digit must be a cube. The only single-digit cubes are 1 and 8. The conditions of the problem disallow 1, therefore the answer is 88.
2006-10-24 10:27:23
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answer #2
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answered by bh8153 7
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There aren't many possibilities.
22, 44, 66, 88
Multiply the digits in each pair and they will all be squares.
4, 16, 36, 64
So which one is a cube.... 64 since it is 4 cubed.
So the answer is 88.
Aloha
2006-10-24 00:52:11
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answer #3
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answered by Anonymous
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88
2006-10-24 10:49:33
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answer #4
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answered by Sir James the Dark 4
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88
2006-10-24 00:53:37
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answer #5
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answered by kb27787 2
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88 8x8=64 whose square root is 8 and cube root is 4
2006-10-24 00:52:31
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answer #6
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answered by Courtney F 1
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