Question

How do you find the fourth root $?$

Answer 1

Finding the fourth root:

The fourth root of a number is the square root of square root of the original number. The simple way of finding the fourth root of a given number is to express the given number as the multiplication of $4$ identical numbers, where the identical number will be the fourth root of the number.

Below are the examples of these two methods.

Lets find the fourth root of the number $256$

Square root of $256=\sqrt{256}=\sqrt{16\times 16}=16$

Square root of $16=\sqrt{16}=\sqrt{4\times 4}=4$

Thus, the fourth root of $256$is $4.$

Alternatively,

$256=\sqrt[4]{4\times 4\times 4\times 4}=4$

Hence, In this way we can find the fourth root.