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Last updated on May 26th, 2025

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Square Root of 36/100

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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 various fields such as vehicle design, finance, etc. Here, we will discuss the square root of 36/100.

Square Root of 36/100 for UK Students
Professor Greenline from BrightChamps

What is the Square Root of 36/100?

The square root is the inverse of the square of the number. 36/100 is a perfect square. The square root of 36/100 is expressed in both radical and exponential form. In the radical form, it is expressed as √(36/100), whereas (36/100)^(1/2) in the exponential form. √(36/100) = 0.6, 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 36/100

The prime factorization method and simplification can be used since 36/100 is a perfect square. Let's learn the following method:

 

  • Simplification method
Professor Greenline from BrightChamps

Square Root of 36/100 by Simplification Method

To find the square root of a fraction, we take the square root of the numerator and the denominator separately:

 

Step 1: Break down 36 and 100 into their respective perfect squares. 36 = 6^2 and 100 = 10^2

 

Step 2: The square root of 36/100 is √(36)/√(100)

 

Step 3: Calculate the square roots. √36 = 6 and √100 = 10

 

Step 4: Combine the results to get the square root of the fraction. √(36/100) = 6/10 = 0.6

Professor Greenline from BrightChamps

Common Mistakes and How to Avoid Them in the Square Root of 36/100

Students often make mistakes while finding square roots, such as forgetting about the negative square root or skipping necessary simplification steps. Let's look at a few common mistakes that students tend to make in detail.

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Common Mistakes and How to Avoid Them in the Square Root of 36/100

Students often make mistakes while finding square roots, such as forgetting about the negative square root or skipping necessary simplification steps. Let's look at a few common mistakes that students tend to make in detail.

Mistake 1

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Forgetting about the negative square root

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It is important to be aware that a number has both positive and negative square roots. However, we often only consider the principal (positive) square root, especially in practical applications.

For example, √(36/100) = 0.6, but there is also -0.6, which should not be forgotten.

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Square Root of 36/100 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 √(49/64)?

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The area of the square is 0.765625 square units.

Explanation

The area of the square = side^2.

The side length is given as √(49/64).

Area of the square = (√(49/64))^2 = 49/64 = 0.765625.

Therefore, the area of the square box is 0.765625 square units.

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Max, the Girl Character from BrightChamps

Problem 2

A square field has an area of 36/100 square meters. If each of the sides is √(36/100), what will be the square meters of half of the field?

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0.18 square meters

Explanation

We can divide the given area by 2 as the field is square-shaped.

Dividing 36/100 by 2 = 18/100 = 0.18

So, half of the field measures 0.18 square meters.

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Max, the Girl Character from BrightChamps

Problem 3

Calculate √(36/100) x 5.

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3

Explanation

The first step is to find the square root of 36/100, which is 0.6.

The second step is to multiply 0.6 by 5.

So, 0.6 x 5 = 3

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Max, the Girl Character from BrightChamps

Problem 4

What will be the square root of (64/100 + 36/100)?

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The square root is 1.

Explanation

To find the square root, we need to find the sum of (64/100 + 36/100).

64/100 + 36/100 = 100/100 = 1, and then √1 = 1.

Therefore, the square root of (64/100 + 36/100) is ±1.

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Max, the Girl Character from BrightChamps

Problem 5

Find the perimeter of a rectangle if its length ‘l’ is √(16/25) units and the width ‘w’ is 8 units.

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We find the perimeter of the rectangle as 16.8 units.

Explanation

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

Perimeter = 2 × (√(16/25) + 8)

= 2 × (0.8 + 8)

= 2 × 8.8

= 16.8 units.

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FAQ on Square Root of 36/100

1.What is √(36/100) in its simplest form?

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2.Is 36/100 a perfect square?

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3.Calculate the square of 36/100.

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4.Is 36/100 a rational number?

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5.What are the factors of 36 and 100?

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

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7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square Root of 36/100?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Square Root of 36/100?

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

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Professor Greenline from BrightChamps

Important Glossaries for the Square Root of 36/100

  • Square root: A square root is the inverse of squaring a number. Example: (6^2 = 36) and the inverse of the square is the square root, which is (√36 = 6).
     
  • 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 a number that is the square of an integer. For example, 36 and 100 are perfect squares.
     
  • Fraction: A fraction represents a part of a whole or, more generally, any number of equal parts. It is written in the form of a/b, where a is the numerator and b is the denominator.
     
  • Decimal: A decimal number has a whole number part and a fractional part, separated by a decimal point. For example, 0.6 is a decimal.
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we believe algebra goes beyond symbols—it unlocks countless opportunities! Our mission is to help children throughout the United Kingdom develop essential math skills, focusing today on the Square Root of 36/100 with an emphasis on understanding square roots—in a lively, enjoyable, and straightforward way. Whether your child is figuring out the speed of a roller coaster at Alton Towers, tallying scores at a local football match, or managing their pocket money for the newest gadgets, mastering algebra gives them the confidence for everyday challenges. Our interactive lessons keep learning simple and enjoyable. Because children in the UK learn differently, we adapt our approach to fit each child’s unique needs. From the bustling streets of London to the scenic Cornish coasts, BrightChamps makes math relatable and exciting throughout the UK. Let’s bring square roots into 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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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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