What is ∛-72 simplified????
The cube root of -72 simplified is -4.
To simplify the cube root of -72 (∛-72), you can use the following steps:
Step 1: Determine the prime factorization of the number inside the cube root, -72.
-72 = -1 * 2 * 2 * 2 * 3 * 3
Step 2: Group the factors in triples, since we are dealing with a cube root.
(-1) * (2 * 2 * 2) * (3 * 3)
Step 3: Simplify each group by finding the cube root of each factor.
The cube root of (-1) is -1.
The cube root of (2 * 2 * 2) is 2.
The cube root of (3 * 3) is 3.
Step 4: Combine the simplified groups.
-1 * 2 * 3 = -6
Therefore, ∛-72 simplified is equal to -6.
To simplify the cube root of -72 (∛-72), we can go through the following steps:
Step 1: Determine the prime factors of the number inside the cube root. In this case, -72 can be written as -1 × 2 × 2 × 2 × 3 × 3.
Step 2: Group the prime factors in threes. In this case, we have one group: (-1) × (2 × 2 × 2) × (3 × 3).
Step 3: Simplify each group. The cube root of (-1) is -1, the cube root of (2 × 2 × 2) is 2, and the cube root of (3 × 3) is 3.
Step 4: Put the simplified groups together. (-1) × 2 × 3 = -6.
Therefore, the simplified cube root of -72 (∛-72) is -6.