Question

digits which is a perfect square. Find E. Find the largest number by which 3528 be multiplied to make the product a perfect cube. Find the cube root of the perfect cube so obtained. F. Sachin can finish a piece of work in 24 days. He started the work but left after 6 days his friend​

Answer 1

For a number to be a perfect square, every prime in its prime factorisation must have an even power. The prime factorisation of 3528 is:

3528 = 2^3 * 3^2 * 7^2

As you can see, the only prime with odd power here is 2, so, you just need to multiply by 2.

The smallest multiple will be 3528*2 = 7056 = 84*84.