What is ^3√54 simplified?
Note: You will find the option to add a cubic root symbol in the Algebra (X) keyboard.
The simplified form of ^3√54 is 2√3.
To simplify ^(3)√54, we need to find the prime factorization of 54.
54 can be divided evenly by 2, resulting in 27.
27 can be divided evenly by 3, resulting in 9.
9 can be divided evenly by 3, resulting in 3.
So, the prime factorization of 54 is 2 x 3 x 3 x 3.
Now, we can rewrite ^(3)√54 as the product of the cube root of each prime factor.
Thus, ^(3)√54 simplifies to 3√2 x 3.
To simplify the expression ^3√54, you need to find the cube root of 54.
Here's how you can find the cube root:
1. Start by prime factorizing the number inside the cube root symbol, which is 54. Prime factorization means representing the number as a product of prime numbers.
54 can be written as 2 × 3 × 3 × 3, since 2 is the only prime factor of 54 besides 3.
2. Next, group the prime factors in triples and take one factor from each triple.
In this case, we have only one triple: 3 × 3 × 3.
3. Finally, take the product of the factors selected in step 2, and that will be the simplified cube root.
The simplified cube root of 54 is 3.
Therefore, ^3√54 simplified is equal to 3.