What are the fourth roots of ?
Step 1: Solve for fourth root of
The fourth root of is A root is simply denoted by Therefore, a fourth root will be denoted by
Hence, we can write, fourth root of number as:
The fourth root of any number will give a value, which on multiplication by itself, four-times, will produce the original number.
Suppose, is the number and is the fourth root of , then;
Or
Thus, in case of , we have:
Or
Step 2: Fourth Root of by Prime Factorization.
We can also find the fourth root of by prime factorization method.
Since, prime factorization of is;
Therefore, if we take the fourth root on both sides, we get;
Hence the fourth root of is