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 $ '\sqrt {} ' $ 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.