Find the smallest number to be multiplied by 2560 to make a
perfect cube. Also find the cube root of the number obtained........................plz solve this ........................plz.........full steps.........and do not spam
Answers
Answer:
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Step-by-step explanation:
To make it a perfect cube,
the number should be multiplied by 5^2 i.e. 25.
When we multiply 2560 by 25,
the product is 64000 which is the perfect cube of 40.
< Therefore, the smallest number by which 2560 is to be multiplied so that the product is a perfect cube is 25.
Answer:
Find the smallest number by which 2560 must be multiplied to become a perfect cube
Therefore, the smallest number by which 2560 is to be multiplied so that the product is a perfect cube is 25.
Step-by-step explanation:
The answer is 25.
Let us break down 2560 into prime factors.
It can be written as 2^3 *2^3 *2^3 *5.
So we can take 2 from each 2^3 and the only redundancy is 5.
To make it a perfect cube, the number should be multiplied by 5^2 i.e. 25.
When we multiply 2560 by 25, the product is 64000 which is the perfect cube of 40.
Therefore, the smallest number by which 2560 is to be multiplied so that the product is a perfect cube is 25.
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