Question

find the value of ³√³√512.​

Answer 1

Step-by-step explanation:

The cube root of 512 is a value which results in its original number after getting multiplied by itself, three-times. It is denoted as 3√512. The cube root of a number is basically the root of a number which is cubed. If x3 = y, then 3√y = x. Thus, it is a reverse method of finding the cube of a number.

Cube root of 512, 3√512 = 8

Say, ‘n’ is the value obtained from 3√512, then n × n × n = n3 = 512 (as per the definition of cube). Since 512 is a perfect cube, we will use here the prime factorisation method, to get the cube root easily. Learn more here, to calculate the value of 3√512.

Answer 2

Answer:

3√3√2*2*2*2*2*2*2*2*2

=3√2*2*2

=2