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6 answers

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 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0 1

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 · answer #2 · answered by bh8153 7 · 0 0

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 · answer #3 · answered by Anonymous · 2 0

88

2006-10-24 10:49:33 · answer #4 · answered by Sir James the Dark 4 · 0 0

88

2006-10-24 00:53:37 · answer #5 · answered by kb27787 2 · 0 0

88 8x8=64 whose square root is 8 and cube root is 4

2006-10-24 00:52:31 · answer #6 · answered by Courtney F 1 · 0 0

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