Question

6. By which smallest number should the following numbers
be multiplied so that products are perfect cubes?
(i) 486
(ii) 8788
(iii) 1323
(iv) 3267
(v) 107811 (vi) 8192​

Answer 1

Answer:

Step-by-ste

By what smallest number should we multiply 8788 so that the product becomes a perfect cube. Find the cube root of the product

explanation:

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