find the smallest number by which 5400 must be multiplied to make it a perfect square
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Answer:A simple way to approach this problem will be to observe it's factors written in smaller cubes, if possible.
Here, 5400 can be written as 100×27×2, out of which 27 is a perfect cube. So to make the entire number a perfect cube,we simply need to form cubes of the remaining factors.
To make a cube out of 100, we need to multiply it by 10 and to do the same with 2, we need to multiply it by 4. Thus the total multiplication done by the end, will be by 40.
So we need to multiply 5400 by 40 to make it a perfect cube .
Step-by-step explanation: Pls mark as brainliest
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