Question

What is the square root of 54 in its simplest form?

Answer 1

Hint: Square Root: A square root of a number is a value that can be multiplied by itself to give the original number. It is a function of $y=\sqrt{x}$ .The principal square root is the positive number square root. Unless “the square root of a number refers only to the principal square root. The square root is usually denoted as ${}^{\prime }{\sqrt{}}^{\prime }$ and it is known as a radical symbol.

Complete step-by-step answer:
A square root of a number is a value that can be multiplied by itself to give the original number.
Given,
First we have to factorize the 54
 $\Rightarrow 54=2\times 3\times 3\times 3$
The square number is, 54.
$$=\sqrt{54}$$
 $=\sqrt{6\times 9}$
$$=\sqrt{2\times 3\times 3\times 1}$$
Making the pairs and take out from the root
 $=3\sqrt{6}$
So, the correct answer is “ $3\sqrt{6}$ ”.

Note: The square root property is the one method to solve the quadratic equations. The method is generally used in equations that have form $a{x}^2=c$ or $(ax+b{)}^2=c$ the equation which can be expressed on either of those forms. We can take square roots from both sides. The square root of a negative number is known as complex number.