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Is 3125 a perfect cube ? If not find the smallest number by which 3125 must be multiplied so that the product becomes a perfect cube.

2 Answers

7 votes

Answer:

5

Explanation:

3125 is not a perfect cube.

The cubes around it are 14^3=2744 and 15^3=3375.

It seems like the only way to find the smallest number to multiply 3125 to make it a perfect cube is to guess and check.

3125*2=6250 cube root is 18.4

3125*3=9375 cube root is 21.08

3125*4=12500 cube root is 23.2

3125*5=15625 cube root is 25, which makes it a perfect cube.

You have to multiply by 5 to make 3125 a perfect cube.

User Blejzz
by
5.6k points
3 votes

Answer:

Yes it is

Step-by-step explanation: 3125 is a prefect cube