Find the cube root of –125: ^3√−125 .(1 point)
The cube root of -125 is -5.
To find the cube root of -125, you can follow these steps:
Step 1: Take the absolute value of -125 since we are finding the cube root.
Absolute value of -125 = 125.
Step 2: Find the cube root of 125.
The cube root of 125 is 5 because 5 × 5 × 5 = 125.
Step 3: Determine the sign of the cube root.
Since the original number was -125, the cube root will also be negative.
Therefore, the cube root of -125 is -5.
To find the cube root of -125, you can follow these steps:
Step 1: Start by noting that the cube root (∛) of a number is the value that, when multiplied by itself twice, results in the original number.
Step 2: For negative numbers, we can find the cube root by taking the cube root of the absolute value (magnitude) of the number and then adding a negative sign to the result.
Step 3: The absolute value of -125 is 125.
Step 4: Take the cube root (∛) of 125, which is 5.
Step 5: Since the original number is negative, the final result will also be negative.
Step 6: Therefore, the cube root of -125 is -5.
In mathematical notation, the cube root of -125 can be represented as:
∛(-125) = -5