Find the cube root of −343 : ^3√-343 (1 point)
Responses
The cube root of −343 is −7.
To find the cube root of -343, we need to find a number that, when multiplied by itself twice, gives -343.
Let's find the cube root of the absolute value of -343, which is 343.
The factors of 343 are: 1, 7, 49, and 343.
Since we are looking for the cube root, the number should be negative. We can choose -7 as the cube root because (-7) x (-7) x (-7) = -343.
Therefore, the cube root of -343 is -7.
To find the cube root of -343, you can follow these steps:
Step 1: Determine the sign of the cube root. In this case, the cube root of -343 will be negative because the number -343 is negative.
Step 2: Find the absolute value of the number. The absolute value of -343 is 343.
Step 3: Find the cube root of the absolute value. The cube root of 343 is 7 since 7 x 7 x 7 = 343.
Step 4: Apply the sign determined in step 1. Since the cube root should be negative, the cube root of -343 is -7.
So, the cube root of -343 is -7.