Find the cube root of -343 3√-343
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 number is -343. Since it is negative, the cube root will also be negative.
Step 2: Find the absolute value of the number.
The absolute value of -343 is 343.
Step 3: Calculate the cube root.
To find the cube root of 343, which is positive, you can use a calculator or manually try different numbers until you find the one that, when cubed, equals 343. In this case, the cube root of 343 is 7 because 7^3 = 343.
Step 4: Write down the final answer with the appropriate sign.
Since we determined in Step 1 that the cube root is negative, the final answer is -7.
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.
Since -343 is a negative number, the cube root will also be negative.
Step 2: Find the absolute value of the number.
The absolute value of -343 is 343.
Step 3: Determine the cube root of the absolute value.
The cube root of 343 is 7 because 7 x 7 x 7 = 343.
Step 4: Apply the sign.
Since we determined in Step 1 that the cube root should be negative, the final answer is -7.