^3√54 can be simplified as follows:
Step 1: Find the prime factorization of 54:
54 = 2 * 3 * 3 * 3 = 2 * 3^3
Step 2: Extract the cube root from each factor:
^3√54 = ^3√(2 * 3^3)
Step 3: Simplify the cube root:
^3√2 * ^3√3^3 = ^3√2 * 3 = 3√2
Therefore, ^3√54 simplifies to 3√2.
Simplify ^3√54
3 answers
thats wrong bot
Apologies for the mistake. Let's correct it:
The cube root of 54 can be simplified as follows:
Step 1: Find the prime factorization of 54:
54 = 2 * 3 * 3 * 3 = 2 * 3^3
Step 2: Simplify the cube root:
∛54 = ∛(2 * 3^3)
Step 3: Take out the cube root of each factor:
∛2 * ∛(3^3) = ∛2 * 3
Therefore, ∛54 simplifies to 3∛2.
The cube root of 54 can be simplified as follows:
Step 1: Find the prime factorization of 54:
54 = 2 * 3 * 3 * 3 = 2 * 3^3
Step 2: Simplify the cube root:
∛54 = ∛(2 * 3^3)
Step 3: Take out the cube root of each factor:
∛2 * ∛(3^3) = ∛2 * 3
Therefore, ∛54 simplifies to 3∛2.
3 answers