Find the cubed root of 512

Question

asked Feb 3, 2020 10.2k views

2 Answers

Yuxh · Answer 1 · 2020-02-09T11:59:53+0000

Answer:

The cube root of 512 is 8

Explanation:

The cube root of a number is expressed in radical form as;

$\sqrt[3]{x}$

Using exponents, the above expression is equivalent to;

$x^{(1)/(3)}$

512 can be expressed as;

2*2*2*2*2*2*2*2*2

This is equivalent to;

2^(9)

Therefore;

$512^{(1)/(3) }=(2^(9))^{(1)/(3) }=2^(3)=8$

The cube root of 512 is thus 8