250 LearnersLast updated on May 26th, 2025
Square root of 44
Square root is a mathematical operation where a factor of a number is multiplied by itself, giving the original number. For financial estimations, geometry problems, the function of square root is used. In this topic, we will learn about the square root of 43.
What is the square root of 44?
The square root is the number that gives the original number when it is multiplied twice. √44=6.63324958071 in exponential form, it is written as √√44 = 441/2= 6.63324958071. In this article we will learn more about the square root of 44, how to find it and common mistakes.
Finding the square root of 44
Students learn different methods to find out square roots. For a perfect square root, the process is simple. Here, it is noticed that 44 is not a perfect square. Few methods are explained below -
Square Root of 44 By Prime Factorization
Prime factorization of 44:
44= 22×11
For finding square roots, prime factorization is a usual way. In this method, a number is expressed as a product of prime factors. The number cannot be expressed as a simple radical form, as it is an irrational number.
Square Root of 44 By Long division
For the division method, the number has to be in pairs from the right side. Firstly, the number has to be segmented into pairs from the right side of the number. If there is an odd count of digits, then that digit has to be kept as it is.
The division method starts from the leftmost side of the number. The closest square number to the first segment can be used as a divisor. In this case, 44 is in pairs therefore, the closest square number is 7. So the square root of the number lies between 6 and 7.
Step 1: Pair 44 with zeros, as it has no decimals in it.
44.00→ (44)(00)
Step 2: pick a number whose square is ≤ 44, 62=36
— 6 is the quotient.
— Subtract the numbers, 44-36=8.
Step 3: double quotient and use it as the first digit of the new divisor’s
— Double 6
— Now find the digit x in a way that 12x×x ≤ 800
— x is 6, 126×6 = 756
Step 4: Now find the final quotient
The result; √44 = 6.633
Square Root of 44 By Approximation
In the approximation method, we estimate the square root by considering the closest perfect square to 44.
Follow the below steps;
Step 1: Nearest perfect square to 44 → √36=6 and √49 = 7
Step 2: The root of 44 will also be higher than 6 but lower than 7 because 44 is greater than 36 but lesser than 49.
Step 3: We try to test numbers like 6.1,6.08 and further. We find that √44 = 6.633
Common Mistakes and How to Avoid Them in the Square Root of 44
Children learn square root in grade 6 or 7. It is quite usual to make mistakes while solving square root. Few mistakes are explained below -
Mistake 1
Rounding the numbers too soon
Rounding 6.633 to 7.0 can result in inaccuracies when applying the square root.
Square root of 44 Examples
Problem 1
Calculate the side length of a square with an area of 44 square units.
To find the side length, use the area formula for a square, s2=Area
s=√44≈6.633 units
Explanation
The side length of the square is approximately 6.633 units.
Problem 2
Find x²+9, where x=√44
: x=√44≈6.633
x2.+9=44+9=53
Explanation
The value of x2+9 is 53, since x2=44
Problem 3
3√44+4√44
3√44+4√44=7√44
Explanation
Since both terms have the same square root, you can add the coefficients, resulting in 7√44
FAQs on the Square root of 44
1. What is the simplest form of 48?
2. How to solve √47?
3.Is 49 a perfect square?
4.Is 12 a perfect square?
5. Find the factorization of 720.
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 44?
8.How do technology and digital tools in Oman support learning Algebra and Square root of 44?
9.Does learning Algebra support future career opportunities for students in Oman?
Important glossaries for the square root of 44
- Integer — A number both positive and negative that lies between zero and infinity is called an integer.
- Prime numbers — A number that can be divisible only by 1 or the number itself is called a prime number.
- Perfect square number — A number is called a perfect square when the root operation is applied, the answer comes out as a whole number.
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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.
