third droot 54 simplified
The third root of 54 simplified is approximately 3.04.
To simplify the cube root of 54, we need to find the largest perfect cube that can divide 54. The prime factorization of 54 is 2 x 3 x 3 x 3.
Now, let's look for the largest perfect cube that can be obtained from these factors. The largest perfect cube is 3 x 3 x 3, which equals 27.
Therefore, the simplified cube root of 54 is 3√27.
To simplify the cube root of 54, follow these steps:
Step 1: Prime factorize the number inside the cube root. In this case, the prime factorization of 54 is 2 * 3 * 3 * 3.
Step 2: Group the prime factors in groups of three, as we are dealing with the cube root. So we have (2 * 3 * 3) * 3.
Step 3: Take out one factor from each group and leave the rest inside the cube root. In this case, we can take out one 3 from each group, which leaves us with (2 * 3) * (3).
Step 4: Simplify the expression. Since 2 * 3 is 6, our simplified expression is 6 * 3.
The simplified cube root of 54 is 6 * cube root of 3, or simply 6∛3.