Find the cube root of 512: 512−−−√3.(1 point)
Responses
−8
negative 8
8
8
8, −8
8 comma negative 8
170.666..
8
To find the cube root of 512, we need to find the number that when cubed gives us 512.
Start by considering some perfect cubes:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216
7^3 = 343
8^3 = 512
So, the cube root of 512 is 8.
To find the cube root of 512, you can use a calculator or follow the steps below:
1. Start with an initial guess for the cube root. Let's choose 8.
2. Cube the guess: 8 * 8 * 8 = 512.
3. Compare the result to the number you want to find the cube root of (512). If they are equal, then the guess is correct and the cube root is 8.
4. If the result is greater than 512, decrease your guess and repeat steps 2-4.
5. If the result is less than 512, increase your guess and repeat steps 2-4.
Using this method, you will find that the cube root of 512 is 8.