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 x² = 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

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

• 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.

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

Explore square roots using illustrations and interactive examples

• Square Root of 208
• Square Root of 216
• Square Root of 289
• Square Root of 24
• Square Root of 250
• Square Root of 288

• 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