Find the cube root of -343
The cube root of -343 is -7.
To find the cube root of -343, follow these steps:
Step 1: Take the absolute value of -343.
|-343| = 343
Step 2: Find the cube root of the absolute value.
∛343 ≈ 7
Step 3: Apply the negative sign.
The cube root of -343 is -7.
Therefore, the cube root of -343 is -7.
To find the cube root of -343, you can follow these steps:
Step 1: Recognize that -343 is a negative number, which means the cube root will also be negative.
Step 2: Take the absolute value of -343, which gives you 343.
Step 3: Find the cube root of 343. You can do this by finding the number that, when multiplied by itself twice, equals 343.
- Start by taking the cube root of the units digit: cube root of 3 is 1.
- Then, find the closest whole number less than the remaining digit. In this case, it's 7 because 2³ = 8 and 3³ = 27.
- Therefore, the cube root of 343 is 7.
Step 4: Since we established that the cube root of -343 is negative, the final answer is -7.
So, the cube root of -343 is -7.