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Last updated on December 2nd, 2024

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Square Root of 1

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The square root of 1 is a value “y” such that when “y” is multiplied by itself → y ⤫ y, the result is 1. The number 1 has a unique non-negative square root, called the principal square root.

Square Root of 1 for Qatari Students
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What Is the Square Root of 1?

The square root of 1 is ±1.  Basically, finding the square root is just the inverse of squaring a number and hence, squaring 1 will result in 1.  The square root of 1 is written as √1 in radical form. In exponential form, it is written as (1)1/2
 

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Finding the Square Root of 1

We can find the square root of 1 through various methods. They are:

 

  • Prime factorization method

 

  • Long division method

 

  • Repeated subtraction method
     
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Square Root of 1 By Prime Factorization Method

The prime factorization of 1 can be found by dividing the number by prime numbers and continuing to divide the quotients until they can’t be divided anymore.


Find the factors of 1.

 

So, 1 is already a prime number. Since there is no factor of 1, the square root is directly 1.
 

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Square Root of 1 By Long Division Method

This is a method used for obtaining the square root for non-perfect squares, mainly. It usually involves the division of the dividend by the divisor, getting a quotient and a remainder too sometimes.

 

Follow the steps to calculate the square root of 1:

 

Step 1: Write the number 1 and draw a bar above the pair of digits from right to left.


 1 is a 1-digit number, so just simply draw a bar above it.


Step 2: Now, find the greatest number whose square is less than or equal to 1. Here, it is 1 because 12=1


Step 3: Now divide 1 by 1 (the number we got from step 2) and we get a remainder 0.


 Step 4: The quotient obtained is the square root. In this case, it is 1.

 

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Square Root of 1 By Subtraction Method

We know that the sum of first n odd numbers is n2. We will use this fact to find square roots through repeated subtraction method. Likewise, we just have to subtract consecutive odd numbers from the given number, starting from 1. The square root of the given number will be the count of number of steps required to obtain 0.


 Here are the steps:


1−1=0 So, after one subtraction, you're at zero, meaning the square root is 1
 

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Common Mistakes and How to Avoid Them in the Square Root of 1

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Square Root of 1 Examples

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Problem 1

Find the radius of a circle whose area is 1π cm^2.

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Explanation

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Problem 2

Find the length of a side of a square whose area is 1 cm^2 ?

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Explanation

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Problem 3

√1 × √1, √1+√1

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Explanation

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Problem 4

If y=√1, find y^2

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Explanation

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Problem 5

Calculate (√(1/100) + √(1/25))

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Explanation

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FAQs on 1 Square Root

1.Can the square root of 1 be negative?

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2.How do you find the square root of 1?

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3.Is 1 a perfect square or non-perfect square?

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4.Is the square root of 1 a rational or irrational number?

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5.What is the square root of -1?

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

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7.How can cultural or local activities in Qatar support learning Algebra topics such as Square Root of 1?

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8.How do technology and digital tools in Qatar support learning Algebra and Square Root of 1?

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

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Important Glossaries for Square Root of 1

  • Exponential form:  An algebraic expression that includes an exponent. It is a way of expressing the numbers raised to some power of their factors. It includes continuous multiplication involving base and exponent. Ex: 2 × 2 ×2 × 2 = 16 Or, 2 4 = 16, where 2 is the base, 4 is the exponent.

 

  • Prime Factorization: Expressing the given expression as a product of its factors. Ex: 48=2 × 2 × 2 × 2 × 3

 

  • Prime Numbers: Numbers which are greater than 1, having only 2 factors as →1 and Itself. Ex: 1,3,5,7,....

 

  • Rational numbers and Irrational numbers: The Number which can be expressed as p/q, where p and q are integers and q not equal to 0 are called Rational numbers. Numbers which cannot be expressed as p/q, where p and q are integers and q not equal to 0 are called Irrational numbers. 

 

  • Perfect and non-perfect square numbers: Perfect square numbers are those numbers whose square roots do not include decimal places. Ex: 4,9,25 Non-perfect square numbers are those numbers whose square roots comprise decimal places. Ex :3, 8, 24

 

  • Imaginary numbers:  It is the product of a real number and the imaginary unit “i”, where i is defined as i2= -1.

 
 

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About BrightChamps in Qatar

At BrightChamps, we know algebra is more than just symbols—it opens doors to many possibilities! Our aim is to support children all over Qatar in mastering key math skills, focusing today on the Square Root of 1 with a special focus on square roots—in a lively, engaging, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, tracking scores at local football matches, or managing their allowance for the latest gadgets, mastering algebra builds their confidence to face everyday challenges. Our interactive lessons make learning both fun and simple. Since kids in Qatar learn in various ways, we tailor our approach to each learner. From Doha’s modern cityscape to desert landscapes, BrightChamps makes math relatable and exciting throughout Qatar. 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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