Question

Cube root of 17 is ninth root of 512 ​

Answer 1

Answer:

Hence, we have:

512=2×2×2×2×2×2×2×2×2

We now form triplets as follows:

512=2×2×2___________×2×2×2___________×2×2×2___________

Next, we just take one among each triplet and multiply to get the cube root.

2×2×2=8

Hence, the cube root of 512 is 8.

Note: You can cross-check your answer by multiplying the answer three times with itself to get 512. This method can only be used to find cube roots of perfect cube numbers. For finding the solution we make the cube pairs of prime numbers .