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Last updated on May 26th, 2025

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Square Root of 8836

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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 like vehicle design, finance, etc. Here, we will discuss the square root of 8836.

Square Root of 8836 for Filipino Students
Professor Greenline from BrightChamps

What is the Square Root of 8836?

The square root is the inverse of the square of a number. 8836 is a perfect square. The square root of 8836 is expressed in both radical and exponential form. In the radical form, it is expressed as √8836, whereas (8836)^(1/2) in the exponential form. √8836 = 94, 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.

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Finding the Square Root of 8836

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

 

  • Prime factorization method
  • Long division method
  • Approximation method
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Square Root of 8836 by Prime Factorization Method

The product of prime factors is the prime factorization of a number. Now let us look at how 8836 is broken down into its prime factors:

 

Step 1: Finding the prime factors of 8836

 

Breaking it down, we get 2 x 2 x 47 x 47: 2^2 x 47^2

 

Step 2: Now we found out the prime factors of 8836. Since 8836 is a perfect square, the digits of the number can be grouped into pairs: (2 x 47)^2

 

Step 3: Taking one number from each pair gives us the square root. Therefore, √8836 = 2 x 47 = 94.

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Square Root of 8836 by Long Division Method

The long division method is particularly used for finding the square root of non-perfect square numbers, but it can also confirm perfect squares. Let us learn how to find the square root using the long division method:

 

Step 1: Group the numbers from right to left. For 8836, group it as 88 and 36.

 

Step 2: Find a number whose square is less than or equal to 88. The number is 9, as 9 x 9 = 81. Subtract 81 from 88, which leaves a remainder of 7.

 

Step 3: Bring down 36 to make it 736. Double the quotient (9), giving us 18, and use it as our new divisor.

 

Step 4: Find a digit x such that (180 + x) x ≤ 736. The number is 4, as 184 x 4 = 736.

 

Step 5: Subtract 736 from 736 to get a remainder of 0.

 

Therefore, the quotient 94 is the square root of 8836.

Professor Greenline from BrightChamps

Square Root of 8836 by Approximation Method

The approximation method is not needed since 8836 is a perfect square. However, if needed, one can find perfect squares nearest to 8836.

 

Step 1: Recognize that 8836 is close to the perfect squares 81^2 = 6561 and 100^2 = 10000.

 

Step 2: Since 8836 is a perfect square, compute directly or use the prime factorization method to find the square root as 94.

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Common Mistakes and How to Avoid Them in the Square Root of 8836

Students may make mistakes while finding square roots, such as forgetting about the negative square root or skipping steps in the long division method. Here are a few common mistakes and how students can avoid them.

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, usually, only the positive square root is considered in practical applications.

For example: √8836 = 94, but there is also -94.

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Square root of 8836 Examples

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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 √8836?

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The area of the square is 8836 square units.

Explanation

The area of the square = side^2.

The side length is given as √8836.

Area of the square = side^2 = √8836 x √8836 = 94 x 94 = 8836

Therefore, the area of the square box is 8836 square units.

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Max, the Girl Character from BrightChamps

Problem 2

A square-shaped building measuring 8836 square feet is built; if each of the sides is √8836, what will be the square feet of half of the building?

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4418 square feet

Explanation

To find half of the area of the square-shaped building, divide the total area by 2.

Dividing 8836 by 2 = 4418

So half of the building measures 4418 square feet.

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Max, the Girl Character from BrightChamps

Problem 3

Calculate √8836 x 5.

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470

Explanation

First, find the square root of 8836, which is 94.

Then multiply 94 by 5.

So, 94 x 5 = 470.

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Max, the Girl Character from BrightChamps

Problem 4

What will be the square root of (8836 + 64)?

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The square root is 96.

Explanation

To find the square root, first calculate the sum of (8836 + 64). 8836 + 64 = 8900, and then √8900 ≈ 94.34.

Therefore, the square root of 8900 is approximately ±94.34.

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Max, the Girl Character from BrightChamps

Problem 5

Find the perimeter of the rectangle if its length ‘l’ is √8836 units and the width ‘w’ is 38 units.

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We find the perimeter of the rectangle as 264 units.

Explanation

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

Perimeter = 2 × (√8836 + 38) = 2 × (94 + 38) = 2 × 132 = 264 units.

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FAQ on Square Root of 8836

1.What is √8836 in its simplest form?

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2.Mention the factors of 8836.

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3.Calculate the square of 94.

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4.Is 8836 a prime number?

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5.8836 is divisible by?

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

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7.How can cultural or local activities in Philippines support learning Algebra topics such as Square Root of 8836?

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8.How do technology and digital tools in Philippines support learning Algebra and Square Root of 8836?

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

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Professor Greenline from BrightChamps

Important Glossaries for the Square Root of 8836

  • Square root: A square root is the inverse of a square. For example, 94^2 = 8836 and the inverse of the square is the square root, so √8836 = 94.
     
  • 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 an integer that is the square of an integer. For example, 8836 is a perfect square because it is 94^2.
     
  • Prime factorization: The process of expressing a number as the product of its prime factors.
     
  • Long division method: A method used to find the square root of a number by dividing it step by step to get a quotient that is the square root.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, we believe algebra is more than symbols—it’s a gateway to countless opportunities! Our mission is to support children across the Philippines in mastering key math skills, focusing today on the Square Root of 8836 with an emphasis on understanding square roots—in a lively, fun, and easy-to-follow way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, tracking basketball scores, or managing their allowance to buy the latest gadgets, mastering algebra builds their confidence for daily challenges. Our hands-on lessons make learning simple and enjoyable. Since kids in the Philippines learn in different styles, we tailor our approach to each learner. From Manila’s busy streets to the beautiful islands of Palawan, BrightChamps brings math to life, making it exciting and relevant throughout the Philippines. Let’s make square roots a fun part of every child’s math journey!
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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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Fun Fact

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

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