Question

What is the square root of 175?

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:
Given,
First of all we have to factorize the number 175,
$ \Rightarrow 175 = 5 \times 5 \times 7$
Now we have to make the set and take out the radical.
The square number is, 175.
$ = \sqrt {175} $
$ = \sqrt {25 \times 7} $
$ = \sqrt {5 \times 5 \times 7} $
Now make the set and take out from the radical.
$ = 5\sqrt 7 $
So, the correct answer is “$5\sqrt 7 $”.

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.