100 LearnersLast updated on May 26th, 2025
Square Root of 2.44
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 2.44.
What is the Square Root of 2.44?
The square root is the inverse of the square of the number. 2.44 is not a perfect square. The square root of 2.44 is expressed in both radical and exponential form. In the radical form, it is expressed as √2.44, whereas (2.44)^(1/2) in the exponential form. √2.44 = 1.562, 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 2.44
The prime factorization method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers; instead, the long-division method and approximation method are used. Let us now learn the following methods:
- Long division method
- Approximation method
Square Root of 2.44 by Long Division Method
The long division method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step.
Step 1: To begin with, we need to consider 2.44 as 244 (by multiplying by 100 for ease).
Step 2: Find a number whose square is closest to 244. The number is 1, as 1 × 1 = 1 is less than 2.
Step 3: Subtract 1 from 2 to get the remainder 1, and bring down 44 to make it 144.
Step 4: Double the divisor (1) to get 2, and find a digit n such that 2n × n is less than or equal to 144. Here, n = 6 works since 26 × 6 = 156, which fits.
Step 5: Subtract 156 from 144 to get the remainder -12.
Step 6: Since the remainder is less than the divisor, add a decimal point and bring down two zeroes to make it 1200.
Step 7: Repeat the process to get a more precise square root value. So, the square root of √2.44 is approximately 1.562.
Square Root of 2.44 by Approximation Method
The approximation method is another method for finding square roots; it is an easy method to estimate the square root of a given number. Let us learn how to find the square root of 2.44 using the approximation method.
Step 1: Find the closest perfect squares around 2.44. The closest smaller perfect square is 1 (√1 = 1), and the closest larger perfect square is 4 (√4 = 2). √2.44 falls between 1 and 2.
Step 2: Apply the formula for approximation: (Given number - smaller perfect square) / (Larger perfect square - smaller perfect square). (2.44 - 1) / (4 - 1) = 1.44 / 3 = 0.48 Using the formula, we identified the decimal point of our square root. Adding it to the lower bound: 1 + 0.48 = 1.48. Further refinement gives us approximately 1.562.
Common Mistakes and How to Avoid Them in the Square Root of 2.44
Students often make mistakes while finding the square root, such as forgetting about the negative square root or skipping steps in the long division method. Let's look at a few of these mistakes in detail.
Mistake 1
Forgetting about the negative square root
It is important to make students aware that a number has both positive and negative square roots. However, we usually consider only the positive square root, as it is more commonly used.
For example, √50 = 7.07, but there is also -7.07.
Square Root of 2.44 Examples
Problem 1
Can you help Max find the area of a square box if its side length is given as √24.4?
The area of the square is approximately 24.4 square units.
Explanation
The area of the square = side².
The side length is given as √24.4.
Area = (√24.4)² = 24.4.
Therefore, the area of the square box is approximately 24.4 square units.
Problem 2
A square-shaped building measuring 2.44 square meters is built; if each side is √2.44, what will be the area of half of the building?
1.22 square meters
Explanation
We can divide the given area by 2 as the building is square-shaped.
Dividing 2.44 by 2 gives us 1.22.
So half of the building measures 1.22 square meters.
Problem 3
Calculate √2.44 × 5.
Approximately 7.81
Explanation
The first step is to find the square root of 2.44, which is approximately 1.562.
The second step is to multiply 1.562 by 5.
So, 1.562 × 5 ≈ 7.81.
Problem 4
What will be the square root of (2.44 + 0.56)?
The square root is approximately 1.732.
Explanation
To find the square root, we sum (2.44 + 0.56) to get 3.
Then √3 ≈ 1.732.
Therefore, the square root of (2.44 + 0.56) is approximately ±1.732.
Problem 5
Find the perimeter of the rectangle if its length 'l' is √2.44 units and the width 'w' is 3 units.
We find the perimeter of the rectangle is approximately 9.124 units.
Explanation
Perimeter of the rectangle = 2 × (length + width).
Perimeter = 2 × (√2.44 + 3)
= 2 × (1.562 + 3)
= 2 × 4.562
= 9.124 units.
FAQ on Square Root of 2.44
1.What is √2.44 in its simplest form?
2.Is 2.44 a perfect square?
3.Calculate the square of 2.44.
4.Is 2.44 a rational number?
5.Is the square root of 2.44 rational or irrational?
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 2.44?
8.How do technology and digital tools in Australia support learning Algebra and Square Root of 2.44?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for the Square Root of 2.44
- Square root: A square root is the inverse of a square. Example: 4² = 16, and the inverse of the square is the square root, that is, √16 = 4.
- Rational number: A rational number is a number that can be expressed in the form of p/q, where q is not equal to zero and p and q are integers.
- Approximation method: A technique used to estimate the value of a square root by comparing it to known perfect squares.
- Long division method: A step-by-step approach to find the square root of non-perfect squares.
- Perfect square: A number that is the square of an integer, such as 1, 4, 9, 16, etc.
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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
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