Square Root of 244
The square root of 244 is expressed as √244 in the radical form and as (244)^{½} or (244)^{0.5} in the exponent form. The square root of 244 rounded up to 8 decimal places is 15.62049935. It is the positive solution of the equation x^{2} = 244. We can express the square root of 244 in its lowest radical form as 2 √61.
 Square Root of 244: 15.620499351813308
 Square Root of 244 in exponential form: (244)^{½} or (244)^{0.5}
 Square Root of 244 in radical form: √244 or 2 √61
1.  What Is the Square Root of 244? 
2.  Is Square Root of 244 Rational or Irrational? 
3.  How to Find the Square Root of 244? 
4.  FAQs on Square Root of 244 
What Is the Square Root of 244?
The square root of a number n is written as √n. This number when squared or multiplied by itself results in the original number n. The square root of 244 can be written as:
 Radical form: √244
 Decimal form: 15.62049
 Exponent form: (244)^{½}
Is Square Root of 244 Rational or Irrational?
244 cannot be broken into two factors which on multiplying give 244. It can be approximately written as the square of 15.62049, which is a nonrecurring and nonterminating decimal number. This shows that it isn't a perfect square, which also proves that the square root of 244 is an irrational number.
 244 is a number that is not a perfect square which means that it does not have a natural number as its square root.
 Square root of 244 in decimal form is √244 = 15.62049
 Square root of 244 cannot be expressed as a fraction of the form p/q which tells us that the square root of 244 is an irrational number.
How to Find the Square Root of 244?
There are two ways to find the square root of 244:
 Long Division Method
 Prime Factorization
Long Division Method
The square root of 244 by long division method consists of the following steps:
 Pair the digits of the number from one's digit by placing a bar over them as shown in the image.
 The first pair consists of 1 number, i.e., 2. Square of 1 gives a product less than 2. The number is subtracted from 2 and subsequently, the next pair is added as the divisor, i.e., 44.
 The double of 1 is 2. Now a number is to be placed along with 2, i.e., 5. The product of 25 by 5 gives 125. When the difference between 144 and 125 is taken, the remainder is 19.
 The quotient is doubled; 30 is a part of the new divisor. Now a decimal is added to the quotient, thus, letting us add a pair of zeros to the original dividend. A number along with 30 is added in the blank and it is multiplied by the same number in the quotient. Product of 306 with 6 gives 1836.
 The difference obtained from the above step is 1900  1836 = 64.
 The process is repeated the same way.
Therefore, the square root of 244 = 15.6
Prime Factorization
 To find the square root of 244, we shall first express it in terms of its prime factors.
Prime factorization of 244 = 2 × 2 × 61  Since all the prime factors of 244 are unique and none of these factors are perfect squares, the square root of 244 cannot be simplified.
 244 in its simplest radical form is 2√61
 Square root of 61 is √61 = 7.81024 = 2 × 7.81024
 Therefore, the Square Root of √244 = 15.62048
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Challenging Questions
 What is the negative root of 2400?
 Find the square root of 244 up to 5 decimal places?
 What is the square root of:
a) 2440
b) 24424
Solved Examples

Example 1: The area of squareshaped plot is 59,536 square units. Calculate the measurement of one side of the plot.
Solution:
The area of the plot = 59,536 sq. units
To find the side of a squareshaped plot, let us take the square root of 59,536.
59,536 = 244 × 244
√59,536 = 244
Square root of 59,536 is 244.
Therefore, the side of the square plot is 244 units. 
Example 2: Help Joy find the square root of 244 up to 3 decimal places.
Solution:
Pair the digits of the number from one's digit by placing a bar over them as shown in image.
The first pair just consists of 1 number, i.e., 2. Square of 1 gives a product less than 2. The number is subtracted from 2 and subsequently, the next pair is added as the divisor, i.e., 44.
The double of 1 is 2. Now a number is to be placed along with 2, i.e., 5. The product of 25 by 5 gives 125. When the difference between 144 and 125 is taken, the remainder is 19.
Now double the quotient (15) and the result (30) becomes the starting digits of the new divisor. Now a decimal is to be added to the quotient, thus, letting us add a pair of zeros to the original dividend. A number along with 30 is added in the blank and it is multiplied by the same number in the quotient. Product of 306 with 6 gives 1836.
The difference obtained from the above step is 1900  1836 = 64.
The process is repeated the same way.
Repeated the process till three decimal places.

Example 3: Jim is multiplying a number by itself. If the product is 244, help Jim find the number.
Solution:
To find the number, let us assume the number = p
On multiplying p times p = p × p = 244
p² = 244
p = √244
p = 15.620
(15.620 × 15.620 = 243.984 ≅ 244)
The number is 15.620.
FAQs on the Square Root of 244
What is the Value of the Square Root of 244?
The square root of 244 is 15.62049.
Why is the Square Root of 244 an Irrational Number?
Upon prime factorizing 244 i.e. 2^{2} × 61^{1}, 61 is in odd power. Therefore, the square root of 244 is irrational.
Evaluate 13 plus 4 square root 244
The given expression is 13 + 4 √244. We know that the square root of 244 is 15.620. Therefore, 13 + 4 √244 = 13 + 4 × 15.620 = 13 + 62.482 = 75.482
What is the Square of the Square Root of 244?
The square of the square root of 244 is the number 244 itself i.e. (√244)^{2} = (244)^{2/2} = 244.
Is the number 244 a Perfect Square?
The prime factorization of 244 = 2^{2} × 61^{1}. Here, the prime factor 61 is not in the pair. Therefore, 244 is not a perfect square.
What is the Value of 10 square root 244?
The square root of 244 is 15.620. Therefore, 10 √244 = 10 × 15.620 = 156.205.
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