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Last updated on December 2nd, 2024

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Square root of 116

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The square root of 116 can be ‘x’ where we get 116 as a result when ‘y’ gets multiplied by y itself → y × y. The number 116 has a special square root called the principal square root.

Square root of 116 for UAE Students
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What is the square root of 116?

  ±10.77 is the square root of 116. To find the square root, we should use the inverse process of squaring a number. So, when 10.77 is squared, we get 116. The radical form of 116 is expressed as √116, where ‘√’ is the radical symbol. The square root of 116 is expressed in its exponential form as (116)½.

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Finding the Square Root of 116

The square root of 116 can be calculated with the help of different methods such as:

 

  • Prime Factorization Method

 

  • Long Division Method

 

  • Approximation or Estimation Method
     
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Square Root of 116 By Prime Factorization

The prime factorization of 116 is done by breaking 116 into its prime factors until the quotient can’t be divided anymore. 

 

The prime factors of 116 are 2 and 29, expressed as 2×2×29  → 22 × 29

 

 

If a number exists that cannot be paired, then that number is written using the radical sign along with paired numbers. Hence, 2√29 is the simplest form of √116.

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Square Root of 116 By Long division

The long division method is used to find the square root of non-perfect squares. This method involves dividing the dividend with divisors, which results in not just a quotient but also a remainder.

 

To calculate √116:

 

Step 1: Draw a horizontal above 116


Step 2: Now find the closest perfect square that lies near to 116. The perfect square closest to 116 is 100  → 102


Step 3: Divide 116 by 10. The quotient will remain 10 and the remainder will be 16 (116-100)


Step 4: Bring down the remainder 16 and add two zeros. Add a decimal point to the quotient, it turns to 10.0.

 

Step 5: Double the quotient and use it as the new divisor. Now pick a number that will complete the divisor so that when it is multiplied by, the product is less than or equal to 1600. 

 

Step 6: Continue to the division to find the √116


 

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Square Root of 116 By Approximation

The approximation method estimates the square root by considering the closest perfect square.

 

Step 1: Nearest perfect square to 116 is √100=10 and √121=11


Step 2: 116 falls between 100 and 121 therefore the square root falls between 10 and 11


Step 3:  We find that  √116 = 10.77.
 

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Common Mistakes and How to Avoid Them in square root of 116

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Square Root of 116 Examples

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Problem 1

If a = √116, find the result for the equation a²- 10

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Explanation

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Problem 2

Simplify (√116 + √116) + √116

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Explanation

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Problem 3

Calculate (10.77/10 + 10.77/9)

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Explanation

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FAQs on square root of 116

1.What is a principal square root ?

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2.How can I find the square root of 4?

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3.Can you tell whether the square root of 116 is rational or irrational?

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4.Write the perfect square which is nearer to 116

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5.What is the value of √11 and check if it’s an irrational number

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

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7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square root of 116?

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8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square root of 116?

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

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Professor Greenline from BrightChamps

Important Glossaries for Square Root of 116

  • Prime number: Numbers having two factors.

 

  • Perfect square: Numbers whose square root include only whole numbers

 

  • Prime Factorization:  Process of expressing the product of prime numbers in exponential form.

 

  • Non-perfect square: Numbers whose square root contains decimals.
     
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About BrightChamps in United Arab Emirates

At BrightChamps, we know algebra is more than symbols—it opens doors to endless possibilities! We’re dedicated to helping kids throughout the UAE develop crucial math skills, focusing today on the Square root of 116 with a special focus on square roots—in an enjoyable, engaging, and easy-to-understand way. Whether your child is figuring out the speed of a roller coaster at Dubai Parks and Resorts, keeping track of local football scores, or budgeting their allowance for the latest gadgets, mastering algebra gives them confidence for everyday situations. Our interactive lessons make learning both fun and simple. Because kids in the UAE learn in varied ways, we customize our teaching to fit each child’s needs. From Dubai’s soaring skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps brings math alive, making it relevant and exciting throughout the UAE. Let’s make square roots a joyful 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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