Question

How to find square root of $2704?$

Answer 1

Hint: Whenever they ask us to find the square root of any given number we can use prime factorization method or we can use long division method. By using both the methods we can get the correct answer.

Complete step-by-step answer:
In this problem they have asked to find the square root of $2704$ .
In order to find the square root of a given number we can make use of the long division method or prime factorization method to arrive at the answer.
Now we make use of a long division method to find the square root of $2704$ .
Here we follow some steps to get the answer.
First, you need to make a group or pair of two numbers from the left side of the number which can be as $\overline {27} \overline {04} $ . Then try to get the square root of the first number, which means we have $5 \times 5 = 25$ which is less than $27$ . Now as a next step subtract $25$ from $27$, then move the next number that is $04$ to down and then do $5 + 5 = 10$ (that is add quotient with divisor) for simplifying the next term.
The above discussed steps are represented as below,

Therefore, the square root of $2704$ is $52$.
In order to cross verify whether we got the correct answer or not try to do as $52 \times 52$ hence, we get $2704$. Therefore the answer is correct.

Note: When they ask for the square root of a number then you can use any method that is by long division or prime factorization method. The above problem also can be solved by using the prime factorization method.