find the cube root of -8: ^3√-8
The cube root of -8 is -2.
To find the cube root of -8, you can follow these steps:
Step 1: Determine the sign:
The cube root of -8 will have a negative sign because -8 is a negative number.
Step 2: Determine the absolute value:
The absolute value of -8 is 8.
Step 3: Calculate the cube root:
The cube root of 8 is 2 because 2 multiplied by itself three times (2 × 2 × 2) equals 8.
Step 4: Apply the sign:
Since we determined in Step 1 that the cube root of -8 has a negative sign, the final answer is -2.
Therefore, the cube root of -8 is -2.
To find the cube root of -8 (represented as ^3√-8), you can follow these steps:
1. Express -8 as a product of prime factors: -8 can be written as -1 * 2^3.
(-1) is the negative sign, and 2^3 represents 2 raised to the power of 3.
2. Take the cube root of each factor: Taking the cube root of -1 gives -1, and the cube root of 2^3 is 2.
3. Combine the results: The cube root of -8 is (-1) * 2, which equals -2.
Therefore, the cube root of -8 is -2.