137 LearnersLast updated on May 26th, 2025
Square Root of 0.0025
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 the field of vehicle design, finance, etc. Here, we will discuss the square root of 0.0025
What is the Square Root of 0.0025?
The square root is the inverse of the square of the number. 0.0025 is a perfect square. The square root of 0.0025 is expressed in both radical and exponential form. In radical form, it is expressed as √0.0025, whereas (0.0025)^(1/2) in exponential form. √0.0025 = 0.05, 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 0.0025
The prime factorization method is used for perfect square numbers. In the case of non-perfect squares, other 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 0.0025 by Prime Factorization Method
The product of prime factors is the prime factorization of a number. Now let us look at how 0.0025 is broken down into its prime factors:
Step 1: Convert 0.0025 into a fraction, which is 25/10000.
Step 2: Find the prime factors of 25 and 10000: 25 = 5 × 5 10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
Step 3: Simplify the fraction by canceling out common prime factors: (5 × 5) / (2 × 2 × 2 × 2 × 5 × 5 × 5 × 5)
Step 4: The square root of 0.0025 is 0.05, as the prime factors align perfectly to form a perfect square.
Square Root of 0.0025 by Long Division Method
The long division method is particularly used for non-perfect square numbers. However, it can also be used for perfect squares to verify results. Let us now learn how to find the square root using the long division method, step by step:
Step 1: Pair the decimal digits from left to right. The number 0.0025 is paired as 25 and 00.
Step 2: Find a number whose square is less than or equal to 25, which is 5, because 5 × 5 = 25.
Step 3: The quotient is 0.05, with a remainder of 0.
Step 4: Since we have no remaining digits, the square root of 0.0025 is 0.05.
Square Root of 0.0025 by Approximation Method
The approximation method is another method for finding square roots, and it is an easy method to find the square root of a given number. Now let us learn how to find the square root of 0.0025 using the approximation method.
Step 1: Identify the closest perfect squares around 0.0025. 0.0001 (√0.0001 = 0.01) and 0.01 (√0.01 = 0.1)
Step 2: Apply the approximation formula: (0.0025 - 0.0001) / (0.01 - 0.0001) = 0.25
Step 3: Adding the initial value to the approximation gives 0.01 + 0.04 = 0.05.
So the square root of 0.0025 is 0.05.
Common Mistakes and How to Avoid Them in the Square Root of 0.0025
Students do make mistakes while finding the square root, like forgetting about the negative square root or skipping long division methods. 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 usually take only the positive square root, as it is the required one in most practical applications.
For example, √0.0025 = 0.05, but there is also -0.05, which should not be forgotten.
Square Root of 0.0025 Examples
Problem 1
Can you help Max find the area of a square box if its side length is given as √0.0025?
The area of the square is 0.0025 square units.
Explanation
The area of the square = side².
The side length is given as √0.0025.
Area of the square = side²
= √0.0025 × √0.0025
= 0.05 × 0.05
= 0.0025
Therefore, the area of the square box is 0.0025 square units.
Problem 2
A square-shaped plot measuring 0.0025 acres is built; if each of the sides is √0.0025, what will be the area of half of the plot?
0.00125 acres
Explanation
We can just divide the given area by 2 as the plot is square-shaped.
Dividing 0.0025 by 2, we get 0.00125.
So half of the plot measures 0.00125 acres.
Problem 3
Calculate √0.0025 × 50.
2.5
Explanation
The first step is to find the square root of 0.0025, which is 0.05.
The second step is to multiply 0.05 with 50. So 0.05 × 50 = 2.5
Problem 4
What will be the square root of (0.0009 + 0.0016)?
The square root is 0.05
Explanation
To find the square root, we need to find the sum of (0.0009 + 0.0016).
0.0009 + 0.0016 = 0.0025, and then √0.0025 = 0.05.
Therefore, the square root of (0.0009 + 0.0016) is ±0.05.
Problem 5
Find the perimeter of the rectangle if its length ‘l’ is √0.0025 units and the width ‘w’ is 0.1 units.
We find the perimeter of the rectangle as 0.3 units.
Explanation
Perimeter of the rectangle = 2 × (length + width) Perimeter
= 2 × (√0.0025 + 0.1)
= 2 × (0.05 + 0.1)
= 2 × 0.15
= 0.3 units.
FAQ on Square Root of 0.0025
1.What is √0.0025 in its simplest form?
2.What are the factors of 0.0025?
3.Calculate the square of 0.0025.
4.Is 0.0025 a rational number?
5.Is 0.0025 a perfect square?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square Root of 0.0025?
8.How do technology and digital tools in Australia support learning Algebra and Square Root of 0.0025?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for the Square Root of 0.0025
- Square root: A square root is the inverse of a square. Example: 0.05² = 0.0025 and the inverse of the square is the square root, that is √0.0025 = 0.05.
- Rational number: A rational number is a number that can be written in the form of p/q, where q is not equal to zero and p and q are integers.
- Perfect square: A perfect square is a number that is the square of an integer or a fraction. Example: 0.05² = 0.0025.
- Decimal: If a number has a whole number and a fraction in a single number, then it is called a decimal. For example, 0.05, 0.25, and 0.125 are decimals.
- Fraction: A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator and the denominator. For example, 25/10000 is a fraction.
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Jaskaran Singh Saluja
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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.
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