Find the cube root of 512: root(512, 3) (1 point)
- 8
O 8,8
170.666...
08
The cube root of 512 is 8.
To find the cube root of 512, we can use the formula:
cube root of a number = number^(1/3)
In this case, the number is 512.
So, the cube root of 512 is:
512^(1/3)
Using a calculator, we find:
512^(1/3) ≈ 8
Therefore, the cube root of 512 is 8.
To find the cube root of 512, you can use a calculator or do the calculation manually.
If you prefer to use a calculator, simply input "512" and then press the cube root button (usually denoted as "∛" or "root(3)"). The result will be displayed on the calculator screen, which is 8.
If you want to calculate it manually, you can use the prime factorization method.
Start by finding the prime factorization of 512. It can be written as 2^9 since 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512.
Now, take groups of three 2's as the cube root operation requires. In this case, we can take 2^3 out of 512 since (2 x 2 x 2) = 8.
Therefore, the cube root of 512 is 8.