Question

What is the os mallest numbey by which 8192 Must be divided to make

a Perfect cube. Also find the cube root
of number obtained.​

Answer 1

Hence, the number 8192 should be divided by 2 to make it a perfect cube.

Hence, the required numbers are 2 and 16....

Hope this helps you

Answer 2

Step-by-step explanation:

Here, 8192 = 2×2×2×2×2×2×2×2×2×2×2 = 23 ×23 ×23×2 Since, one triples remain incomplete, hence 8192 is not a perfect cube. So, we divide 8192 by 2 to make its quotient a perfect cube. Since, 8192/2 = 4096 4096 = 2×2×2×2×2×2×2×2×2×2×2×2 = 23 ×23 ×23 ×23 Cube root of 4096, ∛4096 = ∛(23×23×23×23) = 2×2×2×2 = 16Read more on Sarthaks.com - https://www.sarthaks.com/626823/smallest-number-which-divided-quotient-perfect-cube-also-find-cube-root-quotient-obtained