Question

What is the cube root of 4096 with solutions

Answer 1

We can use the prime factorisation method for this.

2 4096

2 2048

2 1024

2 512

2 256

2 128

2 64

2 32

2 16

2 8

2 4

2 2

  0

Thus 4096 = 2x2x2x2x2x2x2x2x2x2x2x2

Thus ∛4096 = ∛(2x2x2x2x2x2x2x2x2x2x2x2)

                     = 2x2x2x2 = 16