Question

3. Find the smallest number which should be multiplied to the given number so
that the product is a perfect cube.
1) 392
2) 675
3)2560
4)8788​

Answer 1

Answer:

2560

Step-by-step explanation:

2560×25 = 64000. which is a perfect cube. hence the smallest no by which 2560 must be multiplied so that product is perfect cube = 5×5=25.

Answer 2

8788=13×13×13×2×2

=13^3×2^2

To make a perfect cube, we need to have 3 multiples of prime factors.

i.e. we multiply the number by 2

New number =17576

3√17576=26