103 LearnersLast updated on May 26th, 2025
Square Root of 0.04
If a number is multiplied by the same number, the result is a square. The inverse of the square is a square root. The square root is used in fields such as vehicle design, finance, etc. Here, we will discuss the square root of 0.04.
What is the Square Root of 0.04?
The square root is the inverse of the square of the number. 0.04 is a perfect square. The square root of 0.04 is expressed in both radical and exponential form. In the radical form, it is expressed as √0.04, whereas (0.04)^(1/2) in the exponential form. √0.04 = 0.2, which is a rational number because it can be expressed in the form of p/q, where p and q are integers and q ≠ 0.
Finding the Square Root of 0.04
The prime factorization method is used for perfect square numbers. For numbers that are not perfect squares, methods like the long division method and approximation method are used. Let us now learn the following methods:
- Prime factorization method
- Long division method
- Approximation method
Square Root of 0.04 by Prime Factorization Method
The product of prime factors is the prime factorization of a number. Now let us look at how 0.04 can be broken down into its prime factors.
Step 1: Express 0.04 as a fraction, 0.04 = 4/100.
Step 2: Find the prime factors of the numerator and the denominator. 4 = 2 x 2 and 100 = 2 x 2 x 5 x 5.
Step 3: The prime factors of 0.04 are then: (2 x 2)/(2 x 2 x 5 x 5).
Step 4: Since both the numerator and denominator are perfect squares, the square root of 0.04 = √(4/100) = √4/√100 = 2/10 = 0.2.
Square Root of 0.04 by Long Division Method
The long division method is particularly used for non-perfect square numbers, but it can also be applied here for demonstration. Let us now learn how to find the square root using the long division method, step by step.
Step 1: To begin with, pair the digits from right to left. In the case of 0.04, we treat it as 04.
Step 2: Find a number whose square is less than or equal to 04. In this case, 2 x 2 = 4.
Step 3: The quotient is 2, and the remainder is 0.
Step 4: Since no further action is needed, the square root of 0.04 is 0.2.
Square Root of 0.04 by Approximation Method
The approximation method is another method for finding square roots, and it is an easy way to find the square root of a given number. Now let us learn how to find the square root of 0.04 using the approximation method.
Step 1: Identify the closest perfect squares to 0.04. The closest perfect squares are 0 and 1.
Step 2: Since 0.04 is closer to 0.01, which is 0.1 squared, and 0.04 is a perfect square of 0.2, the approximation directly gives the square root as 0.2.
Common Mistakes and How to Avoid Them in the Square Root of 0.04
Students do make mistakes while finding the square root, such as forgetting about the negative square root or skipping methods like long division. Now let us look at a few of those mistakes that students tend to make in detail.
Mistake 1
Forgetting about the negative square root
It is important to make students aware that a number does have both positive and negative square roots. However, we will be taking only the positive square root, as it is the required one.
For example: √0.04 = 0.2; there is also -0.2 which should not be forgotten.
Square Root of 0.04 Examples
Problem 1
Can you help Max find the area of a square box if its side length is given as √0.04?
The area of the square is 0.04 square units.
Explanation
The area of the square = side^2.
The side length is given as √0.04.
Area of the square = side^2
= √0.04 x √0.04
= 0.2 x 0.2
= 0.04.
Therefore, the area of the square box is 0.04 square units.
Problem 2
A square-shaped garden measuring 0.04 square meters is built; if each of the sides is √0.04, what will be the square meters of half of the garden?
0.02 square meters
Explanation
We can just divide the given area by 2 as the garden is square-shaped.
Dividing 0.04 by 2 gives us 0.02.
So half of the garden measures 0.02 square meters.
Problem 3
Calculate √0.04 x 5.
1
Explanation
The first step is to find the square root of 0.04, which is 0.2.
The second step is to multiply 0.2 by 5. So 0.2 x 5 = 1.
Problem 4
What will be the square root of (0.01 + 0.03)?
The square root is 0.2
Explanation
To find the square root, we need to find the sum of (0.01 + 0.03).
0.01 + 0.03 = 0.04, and then √0.04 = 0.2.
Therefore, the square root of (0.01 + 0.03) is ±0.2.
Problem 5
Find the perimeter of the rectangle if its length ‘l’ is √0.04 meters and the width ‘w’ is 0.06 meters.
We find the perimeter of the rectangle as 0.52 meters.
Explanation
Perimeter of the rectangle = 2 × (length + width).
Perimeter = 2 × (√0.04 + 0.06)
= 2 × (0.2 + 0.06)
= 2 × 0.26
= 0.52 meters.
FAQ on Square Root of 0.04
1.What is √0.04 in its simplest form?
2.What are the factors of 0.04?
3.Calculate the square of 0.04.
4.Is 0.04 a perfect square?
5.What is the decimal representation of √0.04?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Square Root of 0.04?
8.How do technology and digital tools in Oman support learning Algebra and Square Root of 0.04?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for the Square Root of 0.04
- Square root: A square root is a value that, when multiplied by itself, gives the original number. Example: √0.04 = 0.2.
- Rational number: A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers, and the denominator is not zero.
- Perfect square: A perfect square is a number that is the square of an integer or a rational number. Example: 0.04 is a perfect square because it is (0.2)^2.
- Decimal: A decimal is a number that has a whole number part and a fractional part separated by a decimal point. Example: 0.2, 1.5, 3.75.
- Numerator and Denominator: In a fraction, the numerator is the top number, and the denominator is the bottom number. Example: In 4/100, 4 is the numerator, and 100 is the denominator.
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Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
