Question

How do you find the square root of 5 to the 4th power?

Answer 1

Hint: To find the square root of 5 to the 4th power, we will convert this statement in the arithmetic form and expand the powers and then solve the square root and product the numbers come out from the square root.

Complete step by step solution:
As per the question, we need to find the square root of 5 to the 4th power.
First of all, we will convert it into arithmetic form, as shown below:
\[{\left( {\sqrt 5 } \right)^4}\]
We will expand the powers out from the bracket.
$ = \sqrt 5 \times \sqrt 5 \times \sqrt 5 \times \sqrt 5 $
We can write all 5 under one square root as written below:
$ \Rightarrow \sqrt {5 \times 5 \times 5 \times 5} $
We know that a number will come out from the square root when a pair of the same number is present in the square root.

$ = 5 \times 5 \Rightarrow 25$

Note:
We should remember how to solve square roots, as we know that a number will come out from the square root when a pair of the same number is present in the square root and produce the numbers that come out from the square root.