Find the cube root of –125: −125−−−−√3.
The cube root of -125 is -5.
Explanation:
The cube root of a number is the value that when multiplied by itself three times equals the original number. In this case, we are looking for the value that, when multiplied by itself three times, equals -125.
-5 × -5 × -5 = -125
Therefore, the cube root of -125 is -5.
To find the cube root of -125, we can use the following steps:
Step 1: Recognize that -125 is a negative number, so the cube root will also be negative.
Step 2: Take the absolute value of the number, which in this case is 125.
Step 3: Find the cube root of 125. The cube root of 125 is 5 because 5^3 = 125.
Step 4: Multiply the result from Step 3 by -1 to make it negative. So, -5 is the cube root of -125.
Therefore, the cube root of -125 is -5.
To find the cube root of -125:
1. Take the absolute value of -125, which is 125.
2. Calculate the cube root of 125: ∛125 = 5.
3. Since the original number, -125, is negative, the cube root of -125 will be negative as well.
4. Therefore, the cube root of -125 is -5.