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Last updated on May 26th, 2025

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Square root of 3600

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Square root is simply a number value that when multiplied with itself gives the original number. We apply square roots when we make financial estimations and solve practical problems in geometry.

Square root of 3600 for Bahraini Students
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What is the square root of 3600?

The square root is the number that gives the original number when squared. 


√3600 = 60, in exponential form it is written as√3600 = 36001/2=60. 


In this article we will learn more about the square root of 3600, how to find it and common mistakes one may make when trying to find the square root. 
 

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Finding the square root of 3600

To find the square root of a number of students learn many methods. When a number is a perfect square and the process of finding the square root is simple. 
 

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Prime factorization method

Step 1: prime factorize 


3600 = 24×32×52


Step 2: group the factors 


√3600 = √(24×32×52) 


Step 3: find the product of factors to find the square root 


 22×3×5 = 60 
 

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Division method

Step 1: Pair 3600 as shown 


3600 → (36)(00) 


Step 2: pick a number whose square is ≤ 36, 62=36 


— 6 is quotient. 


— Subtract the numbers, 36-36=0. 


— numbers 00 are to be brought down next to the remainder. 


Step 3: double quotient, use it as new divisor’s first digit


— Double 6.


— Now find the digit x in a way that 12x×x = 00 


— x is 0, 120×0 = 0.


Step 4: find the final quotient 


— The quotient is 60, the square root of √3600


The result; √3600 = 60
 

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Repeated subtraction method

Step 1: Start subtraction of consecutive odd numbers starting from 1 from 3600.


Step 2: Maintain a count of the number of the subtractions performed


3600-1= 3599


3599-3 =3596


3596-5=3591


3591-7=3584


Step 3: Continue the subtraction until the remainder is 0.


After performing 60 subtractions, the remainder is 0. The square root of the number is 60. 


The result; √3600 = 60
 

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Common mistakes and how to avoid them in square root of 3600

Students make errors when learning to find the square root of a number. Here are errors and tips to avoid them. 

Mistake 1

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 Working individually on the numbers instead of working in pairs 
 

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When finding the square using the long division method, one may forget to work on pairs and not as individual numbers. 
 

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Square root of 3600 Examples

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Problem 1

Find x² + 3, where x = √3600.

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 x=√3600=60


x² + 3 = 3600 + 3 = 3603
 

Explanation

The value of x2+3 is 3603.
 

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Problem 2

Simplify 7√3600 + 5√3600.

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7√3600+5√3600=60(7+5)=60×12=720
 

Explanation

 The simplified value is 720.
 

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Problem 3

Find the length of the side of a square with an area of 3600 cm².

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Area=s2


s=√3600=60 cm
 

Explanation

side of the square’s length is 60 cm

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FAQs on Square Root of 3600

1.What is square root of 3640?

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2.Is 3200 a perfect square?

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3.What makes number 16 a perfect square?

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4. Find the factorization of 720.

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5. What's the square root of 18?

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6.How can children in Bahrain use numbers in everyday life to understand Square root of 3600 ?

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7.What are some fun ways kids in Bahrain can practice Square root of 3600 with numbers?

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8.What role do numbers and Square root of 3600 play in helping children in Bahrain develop problem-solving skills?

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9.How can families in Bahrain create number-rich environments to improve Square root of 3600 skills?

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Important glossaries for the square root of 3600

  • Prime numbers —  a number whose factors are itself and 1 

 

  • Integer — A number between zero and infinite, that can be in any form; positive or negative, whole or decimal

 

  • Perfect square number — a number whose square root has no decimal places 

 

  • Non-perfect square numbers — number or an integer which has a decimal square root 


 

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About BrightChamps in Bahrain

At BrightChamps, we understand algebra as more than symbols—it’s a gateway to countless opportunities! We are dedicated to helping children across Bahrain master essential math skills, focusing today on the Square root of 3600 with special attention to square roots—in a fun, lively, and easy-to-follow manner. Whether your child is figuring out the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, following local football scores, or managing their allowance to buy the latest gadgets, mastering algebra builds confidence for daily challenges. Our hands-on lessons make learning simple and enjoyable. Because kids in Bahrain learn differently, we customize our teaching to fit each learner’s style. From Manama’s lively city life to peaceful beaches, BrightChamps brings math to life, making it exciting throughout Bahrain. Let’s make square roots a fun part of every child’s math journey!
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