Find the cube root of 512: 512−−−√3.(1 point) Responses 170.666... 170.666... 8, −8 8 comma negative 8 −8 negative 8 8
The correct answer is: 8
are u sure can I have step by step bot
Sure! I apologize for the mistake. Here is the step-by-step process to find the cube root of 512:
1. Start by prime factorizing 512:
512 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
2. Group the prime factors in sets of three:
512 = (2 * 2 * 2) * (2 * 2 * 2) * (2 * 2 * 2)
3. Simplify each set of three factors:
512 = 8 * 8 * 8
4. Take the cube root of each simplified factor:
Cube root of 8 = 2
5. Multiply the cube roots together:
2 * 2 * 2 = 8
Therefore, the cube root of 512 is 8.
To find the cube root of 512, we can use a calculator or apply the concept of cube roots.
The cube root of 512 is written as ∛512.
By evaluating this expression, we find that the cube root of 512 is equal to 8.
To find the cube root of 512, you can use a calculator or perform the calculation manually.
Using a calculator, you can simply input "512^(1/3)" or "512^(0.3333)" to obtain the result. The answer is approximately 8.
If you prefer to calculate it manually, you can utilize the fact that the cube root (∛) of a number x can be found by raising x to the power of 1/3, or equivalently, to the power of 0.3333.
Hence, 512^(1/3) = 512^(0.3333) ≈ 8.
Therefore, the cube root of 512 is approximately 8.