Question

find the cube root of 512 plss answer with full steps .

Answer 1

The prime factors of 512

= 2x 256

= 2x2x128

= 2x2x2x64

= 2x2x2x2x32

= 2x2x2x2x2x16

=2x2x2x2x2x2x8

=2x2x2x2x2x2x2x4

=2x2x2x2x2x2x2x2x2

=2^3 x 2^3 x 2^3

= 8 x 8 x 8

The cube root of 512 is 8.

Ans : 8.

$hope \: it \: will \: help \: you....$

Answer 2

Here is your solution

Firstly,
we factorise 512

512 =2×2×2×2×2×2×2×2×2

512=2^3×2^3×2^3

Now we get

512 = 8 x 8 x 8 = 8³
Therefore,

The cube root of 512 = ³√512 = 8