Question

Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product​.



plzz tell solution fast

Answer 1

Answer:

60

Step-by-step explanation:

prime factorisation of 3600:

3600 = 2×2×2×2×3×3×5×5

there are 4 2s, 2 3s and 2 5s

thus, 2 2s, 3 and 5 should be multiplied

⇒ 2×2×3×5 = 60 should be multiplied.

Answer 2

60

3600= 2×2×2×2×3×3×5×5

we know that 2×2×2 is a 2^3

so we have to multiplied

2×2×3×5=60

3600×60=216000

Therefore cube root of 216000 is 60

Therefore 60 is a smallest number