Fifth Root Calculator

Using this fifth root calculator is rather simple:

1. Enter the number a for which you wish to calculate the fifth root.
2. The fifth root calculator will immediately show you the fifth root of this number.

For example, say you want to find the 5ᵗʰ root of 7776. Enter 7776 in the a field. Right away, we get the result as 6.

We can use this calculator to find other roots by providing a different value for the n parameter. For example, to find the third root of the same number 7776, change n from 5 to 3. The calculator will instantly tell us the 3ʳᵈ root of 7776 is 19.81.

❗ Our calculator will not allow you to find the n^th-root for a negative number if n is even, as that would give a complex root.

The following sections will explain the math behind this calculator, so we recommend you keep reading.

The exponent operation raises a number to a given exponent (or power) , which is the same as multiplying the number with itself times:

For example, 2 raised to the power 5 is:

The root operation is essentially the inverse of the exponent operation — It finds the number that must be raised to the power to get .

Therefore, we can say that 2 is the fifth root of 32:

Let's look at how to calculate the fifth root of the number 7776:

1. Prime factorize the number. To learn how to do this quickly, head to our prime factorization calculator.

2. Group these prime factors by sets of 5.

3. Now, take the fifth root of the number using these prime factors:

Not every problem is as simple as that, of course! For example, using the same steps to find the fifth root of 125 will leave us at a stalemate at step 3, with . That's where this fifth root calculator comes in! By simply entering 125 in a, we find that .

If you enjoyed our fifth root calculator, you may find these calculators useful, too:

• Root calculator; and
• Fourth root calculator.