The least no by which 5832 is multiplied to make it a perfect square number
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Using the J programming language:
Find the ceiling of the cube root of 5324
>.3%:5324
18
So the next larger cube root is 18
18^3
5832
The next larger perfect cube is 5832. So we need to find the number you must multiply 5324 by, to get 5832, which is the smallest perfect cube after 5324:
x:5832%5324
1458r1331
5832%5324
1.09542
So the smallest number that you need to multiply 5832 by so that the product is a perfect cube is the ratio 1458/1331, or 1.09542.
<<<>>>
Check - take the cube root of 5324*1458/1331 or 5324*1.09542:
3%:5324*1.09542
18
Perfect cube.
<<<<>>>>
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