WHAT IS ³√54 SIMPLIFIED?!!!!
The cube root of 54, when simplified, is approximately equal to 3.779.
To simplify the cube root of 54, we can factorize the number inside the cube root:
54 = 27 * 2
Now, we can simplify the cube root:
³√54 = ³√(27 * 2)
We know that the cube root of 27 is 3:
³√(27 * 2) = 3 * ³√2
Therefore, the simplified form of ³√54 is 3 * ³√2.
To simplify the cube root of 54, we need to find the prime factorization of 54.
First, we can see that 54 is divisible by 2, so we can divide it by 2 to get 27.
Now, 27 is also divisible by 3, so we can divide it by 3 to get 9.
Finally, 9 is divisible by 3 again, so we can divide it by 3 to get 3.
Therefore, the prime factorization of 54 is 2 * 3 * 3 * 3, or 2 * 3^3.
Now, to simplify the cube root of 54, we can simplify the cube root of each of the prime factors:
· The cube root of 2 is already simplified and cannot be simplified further.
· The cube root of 3^3 is simply 3.
So, the simplified cube root of 54 is 2 * 3, or 6.
³√54 SIMPLIFIED
I apologize for the confusion caused. Let's simplify the cube root of 54.
To find the prime factorization of 54:
54 = 2 * 27
= 2 * (3 * 9)
= 2 * (3 * (3 * 3))
So, the prime factorization of 54 is 2 * 3^3.
Now, to simplify the cube root of 54:
³√54 = ³√(2 * 3^3)
Since we have a cube root, we can simplify by taking out the cube root of 3^3:
³√(2 * 3^3) = ³√2 * ³√(3^3)
The cube root of 3^3 is simply 3:
³√(2 * 3^3) = ³√2 * 3
Therefore, the simplified form of ³√54 is ³√2 * 3.