Find the cube root of −343

To find the cube root of (-343), we can express it as:

[ \sqrt[3]{-343} ]

Since (-343) is a negative number, we are looking for a negative number that, when multiplied by itself twice (i.e., cubed), equals (-343).

We know that:

[ (-7) \times (-7) \times (-7) = -343 ]

Thus, we can conclude that:

[ \sqrt[3]{-343} = -7 ]

So, the cube root of (-343) is (-7).