Find the cube root of 512: 512.
8, -8
-8
8
170.666...
The cube root of 512 is 8.
To find the cube root of 512, you can start by estimating the answer. The perfect cubes closest to 512 are 512 and 729, with 512 being smaller. So, if we take the cube root of 512, the answer will be close to 8.
To find the exact cube root, we can use a calculator or manual calculations.
Using a calculator:
The cube root of 512 is approximately 8.
Using manual calculations:
We can start by trying a few numbers, such as 8 and -8, to see if they are close to the cube root.
If we cube 8, we have 8 × 8 × 8 = 512, which means 8 is the cube root of 512.
However, if we cube -8, we have -8 × -8 × -8 = -512, which is not equal to 512. So, -8 is not the cube root.
Therefore, the cube root of 512 is 8.
To find the cube root of 512, you can use a calculator or follow the procedure manually. Here's how you can calculate it manually:
1. Start by making an educated guess for the cube root. In this case, a good estimate would be 8 since 8^3 = 512.
2. Test your guess by cubing it. Calculate 8^3 = 512.
Since it matches the original number, the guess is correct.
3. Therefore, the cube root of 512 is 8.
In conclusion, the cube root of 512 is 8.