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Last updated on May 26th, 2025

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Square Root of 1244

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If a number is multiplied by itself, the result is a square. The inverse of the square is a square root. The square root is used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 1244.

Square Root of 1244 for US Students
Professor Greenline from BrightChamps

What is the Square Root of 1244?

The square root is the inverse of the square of a number. 1244 is not a perfect square. The square root of 1244 is expressed in both radical and exponential form. In the radical form, it is expressed as √1244, whereas in exponential form it is (1244)^(1/2). √1244 ≈ 35.257, which is an irrational number because it cannot be expressed in the form p/q, where p and q are integers and q ≠ 0.

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Finding the Square Root of 1244

The prime factorization method is used for perfect square numbers. However, for non-perfect square numbers, the long division method and approximation method are used. Let us now learn the following methods:

 

  • Prime factorization method
  • Long division method
  • Approximation method
Professor Greenline from BrightChamps

Square Root of 1244 by Prime Factorization Method

The product of prime factors is the prime factorization of a number. Now let us look at how 1244 is broken down into its prime factors:

 

Step 1: Finding the prime factors of 1244. Breaking it down, we get 2 x 2 x 311: 2^2 x 311.

 

Step 2: Now we found out the prime factors of 1244. The second step is to make pairs of those prime factors. Since 1244 is not a perfect square, the digits of the number can’t be grouped in pairs.

 

Thus, calculating 1244 using prime factorization is not straightforward.

Professor Greenline from BrightChamps

Square Root of 1244 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, group the numbers from right to left. In the case of 1244, group it as 12 and 44.

 

Step 2: Now find n whose square is less than or equal to 12. We can say n is 3 because 3 x 3 = 9, which is less than 12. Now the quotient is 3, and after subtracting, 12 - 9, the remainder is 3.

 

Step 3: Bring down 44, which is the new dividend. Add the old divisor's last digit (3) to the same number to get 6, which will be our new divisor.

 

Step 4: The new divisor is 6n. Find the value of n such that 6n x n ≤ 344.

 

Step 5: Let n be 5, now 65 x 5 = 325.

 

Step 6: Subtract 344 from 325; the difference is 19, and the quotient is 35.

 

Step 7: Since the dividend is less than the divisor, add a decimal point, allowing us to bring down two zeroes to the dividend. Now the new dividend is 1900.

 

Step 8: Find the new divisor, which is 702, since 702 x 2 = 1404.

 

Step 9: Subtracting 1404 from 1900 gives a result of 496.

 

Step 10: Now the quotient is 35.2.

 

Step 11: Continue these steps until we get the desired decimal places.

 

So the square root of √1244 is approximately 35.257.

Professor Greenline from BrightChamps

Square Root of 1244 by Approximation Method

The approximation method is another method for finding square roots; 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 1244 using the approximation method.

 

Step 1: Find the closest perfect square to √1244. The smallest perfect square less than 1244 is 1225, and the largest perfect square greater than 1244 is 1296. √1244 lies between 35 and 36.

 

Step 2: Apply the formula: (Given number - smallest perfect square) ÷ (Greater perfect square - smallest perfect square). Using the formula, (1244 - 1225) ÷ (1296 - 1225) = 19 ÷ 71 ≈ 0.2676. Adding this value to the smaller perfect square root, we get 35 + 0.2676 ≈ 35.2676.

 

Thus, the square root of 1244 is approximately 35.2676.

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Common Mistakes and How to Avoid Them in the Square Root of 1244

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 us look at a few common mistakes in detail.

Mistake 1

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Forgetting about the negative square root

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It is important to remember that a number has both positive and negative square roots. However, we typically take only the positive square root, as it is the most commonly used.

For example, √50 = 7.07, but there is also -7.07 which should not be forgotten.

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Square Root of 1244 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Can you help Max find the area of a square box if its side length is given as √1244?

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The area of the square is approximately 1549.536 square units.

Explanation

The area of a square = side².

The side length is given as √1244.

Area of the square = (√1244)² = 1244 square units.

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Max, the Girl Character from BrightChamps

Problem 2

A square-shaped building measuring 1244 square feet is built; if each of the sides is √1244, what will be the square feet of half of the building?

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622 square feet

Explanation

Divide the given area by 2 as the building is square-shaped.

Dividing 1244 by 2, we get 622.

So, half of the building measures 622 square feet.

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Max, the Girl Character from BrightChamps

Problem 3

Calculate √1244 x 5.

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Approximately 176.285

Explanation

First, find the square root of 1244, which is approximately 35.257.

Then multiply 35.257 by 5.

So, 35.257 x 5 ≈ 176.285.

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Max, the Girl Character from BrightChamps

Problem 4

What will be the square root of (1244 + 32)?

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The square root is 36.

Explanation

To find the square root, first find the sum of (1244 + 32).

1244 + 32 = 1276, and then find √1276, which is approximately 35.7.

Therefore, the square root of (1244 + 32) is about ±35.7.

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Max, the Girl Character from BrightChamps

Problem 5

Find the perimeter of the rectangle if its length ‘l’ is √1244 units and the width ‘w’ is 50 units.

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The perimeter of the rectangle is approximately 170.514 units.

Explanation

Perimeter of the rectangle = 2 × (length + width).

Perimeter = 2 × (√1244 + 50)

≈ 2 × (35.257 + 50)

≈ 2 × 85.257

≈ 170.514 units.

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FAQ on Square Root of 1244

1.What is √1244 in its simplest form?

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2.Mention the factors of 1244.

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3.Calculate the square of 1244.

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4.Is 1244 a prime number?

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5.1244 is divisible by?

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6.How does learning Algebra help students in United States make better decisions in daily life?

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7.How can cultural or local activities in United States support learning Algebra topics such as Square Root of 1244?

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8.How do technology and digital tools in United States support learning Algebra and Square Root of 1244?

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9.Does learning Algebra support future career opportunities for students in United States?

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Professor Greenline from BrightChamps

Important Glossaries for the Square Root of 1244

  • Square root: A square root is the inverse operation of squaring a number. Example: 4^2 = 16, and the inverse is √16 = 4.
     
  • Irrational number: An irrational number is a number that cannot be exactly expressed as a simple fraction.
     
  • Principal square root: The non-negative square root of a number, which is usually the more commonly used in practical applications.
     
  • Prime factorization: Expressing a number as the product of its prime factors.
     
  • Approximation: A method of finding a value that is close enough to the right answer, usually within an acceptable error margin.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we understand algebra is more than just symbols—it’s a gateway to endless possibilities! Our goal is to empower kids throughout the United States to master key math skills, like today’s topic on the Square Root of 1244, with a special emphasis on understanding square roots—in an engaging, fun, and easy-to-grasp manner. Whether your child is calculating how fast a roller coaster zooms through Disney World, keeping track of scores during a Little League game, or budgeting their allowance for the latest gadgets, mastering algebra boosts their confidence to tackle everyday problems. Our hands-on lessons make learning both accessible and exciting. Since kids in the USA learn in diverse ways, we customize our methods to suit each learner’s style. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it meaningful and enjoyable all across America. Let’s make square roots an exciting part of every child’s math adventure!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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