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.