Table of Contents

## Introduction to Square Root

The square root of a number is the number that, when multiplied by itself, results in the original number. For example, the square root of 9 is 3 because 3 multiplied by 3 equals 9. Square Root of Decimal Number – Steps Solved Example and FAQs.

There are two ways to find the square root of a number. The first way is to use a calculator. The second way is to use a method called long division.

To use a calculator, press the square root button and then enter the number you want to find the square root of. The calculator will then give you the answer.

To use the long division method, divide the number you want to find the square root of by the number 2. Then, keep track of the remainders. The square root of the number is the number that, when multiplied by itself, results in the original number and the remainder is the last number in the division. For example, the square root of 36 is 6 because 6 multiplied by 6 equals 36 and the remainder is 6. Square Root of Decimal Number – Steps Solved Example and FAQs.

## What is Square Root of Decimal Number

We know that a square root is a number that when multiplied by itself gives the original number. So, the square root of 25 is 5 because 5 multiplied by 5 is 25.

To find the square root of a decimal number, we first need to find the square root of the number’s integer part. We then need to find the square root of the number’s decimal part. We then add the two square roots together.

For example, the square root of 8.6 is 2.8 because 2 multiplied by 2.8 is 8.6. The square root of 0.345 is 0.5 because 0.5 multiplied by 0.5 is 0.345. So, the square root of 8.6 is 2.8 + 0.5 = 3.3.

## Steps for Finding the Square Root of Decimal Number with Examples

To find the square root of a decimal number, follow these steps:

1. Write the decimal number as a fraction.

2. Square the numerator and the denominator of the fraction.

3. Take the square root of the result of Step 2.

4. Write the square root of the result of Step 3 as a decimal number.

**Here is an example:**

Find the square root of 9.

9 can be written as 9/1.

Square the numerator and the denominator: 9/1 = 9.

Take the square root of 9: 3.

Write the square root of 3 as a decimal number: 3.0

## Examples to be Solved

1) A car is traveling at a constant speed of 30 mph. How long will it take the car to travel 1 mile?

2) A plumber charges $25 for a service call plus $50 per hour of service. What will it cost to have the plumber work for 3 hours?

3) A company has a policy of paying its employees a salary plus a commission. If an employee’s salary is $800 per week and her commission is 8% of her total sales, what is her total weekly pay?