Chapter R6, Problem 1E

To determine

Square root of

$25$ .

Answer to Problem 1E

Solution: The square root of $25$ is $5$ .

Given: The given number is $25$ .

Explanation of Solution

Let’s take $25$ as a number whose square root is to be found. Place a bar over the pair of numbers starting from unit’s digit. In this case since the number consist of even number of digits, put a bar on entire two digits number.

Take the largest single digit number as the divisor whose square is less than or equal to the number under a bar. Divide and write the quotient. Here the quotient is $5$ and the remainder is $0$ .

  $\begin{array}{l}\\ \text{ 5}\\ \text{ 5 }\overline{)\begin{array}{l}\overline{25}\\ \text{25 }\end{array}}\\ \overline{}\overline{}\overline{}\overline{}\overline{0}\overline{}\overline{}\overline{}\overline{}\overline{}\overline{}\end{array}$

So, we have the square root of $25$ as $5$ .

  $\sqrt{25}=5$

Conclusion: Square root of any number can be found using division method. In above case square root of $25$ is $5$ .