Square Root of 44
Squares and square roots are special exponents. When the exponent on the number is 2, it is termed as square and when the exponent is ½ it is called a square root of a number. Let's see how to find the square root of 44 and also discover interesting facts around them.
 Square Root of 44: √44 = 6.633
 Square of 44: 44^{2} = 1936
What Is the Square Root of 44?
The square root of any number n can be written as √n. It means then there is a number 'a' such that: a × a = n. It can also be written as: a^{2} = n and a = √n. So, a is called as square root of n or the second root of n.
 Now, if n = 44, then a = √44 is the square root of 44. The square root of 44 radical form can be represented by √44.
 The simplest radical form of square root of 44 isradic;44 = √4 × √11= √11.
 The square root of 44 in the decimal form up to two decimal places = 6.63
Is Square Root of 44 Rational or Irrational?
The square root of 44 is an irrational number with neverending digits. √44 = 6.63324958071. Due to the nature of its nonrepeating and nonterminating decimal expansion, the square root of 44 cannot be written in the form of p/q; hence it is an irrational number. The square root of any number has two values; one is positive and the other is negative.√44 = + 6.633249 or  6.633249
How to Find the Square Root of 44?
The square root of 44 or any number can be calculated in many ways. Two of them are approximation (hit and trial) and the long division method. Let's see how to find √44 by the approximation method:
 Take two perfect square numbers which are just smaller than 44 and just greater than 44. √36 < √44 < √49
 6 < √ 44 < 7
 Multiply the inequality by 10
 60 < 10 √ 44 < 70
 √ 3600 < √4400 < √ 4900
 Move more closer to the inequality
 √ 4356 < √4400 < √ 4489
 66 < 10 √ 44 < 67
 Divide both sides by 10
 6.6 < √ 44 < 6.7
 Take the average of both lower and upper limits.
 √ 44 ≈ (6.6 + 6.7) / 2
 √ 44 ≈ 6.65
Square Root of 44 by Long Division Method
The long division method helps us to find a more accurate value of square roots of any number. The following are the steps to be followed:
 Step 1: Divide the number 44 by 6 because 6^{2} = 36 is a perfect square number just less than 44.
 Step 2: Take the same number as the quotientwhich is the divisor, 6. Multiply quotient and the divisor and subtract the result from 44
 Step 3: Take the same quotient 6 and add with the divisor 6
 Step 4: Apply decimal after quotient and bring down two zeros and place it after 8 so that it becomes 800. We need to take a number which, when placing it at the end of 12 and multiplying the result with the same number, we get a number just less than 800. 126 × 6 = 756. Subtract 756 from 800. 800  756 = 44
 Step 5: Bring down two zeros again and place it after 44, so that it becomes 4400. Take 6 and add it to 126. 126 + 6 = 132 We need to take a number which,when placing at the end of 132 and multiplying the result with the same number, we get a number just less than 4400. 1323 × 3 = 3969. Write the same number after 6 in the quotient.. Subtract 3969 from 4400. 4400  3969 = 431
 Step 6: Repeat the process until we get the remainder equal to zero. The square root of 44 up to two places is obtained by the long division method.
Tips and Tricks
The square root of any number can be assumed to be between the square root of two nearest perfect squares of that number. For example, the square root of 44 lies between the square root of 36 and 49.
√36 < √44 < √49, i.e., 6 < √ 44 < 7)
Explore Square roots using illustrations and interactive examples
Important Notes
 The square root of 44 ≈ 6.63
 The square root of 44 in its radical form is 2√11
 √44 is irrational.
Square Root of 44 Solved Examples

Example 1:Kevin, a salesman, wants to build a rectangular floor garage to store goods for his shop. He wants the length of the floor as 10 feet and width as √176 feet. What is the area of the garage that he will build?
Solution:
Area of the rectangle floor = length of the floor × width of the floor
Area = 10 × √176 = 10 × √(4 × 44)
= 10 × 2 × √44
= 20 × 6.633
= 132.66 sq feet
Therefore, area of the floor = 132.66 sq feet 
Example 2: A car is traveling at a speed of 5 √396 miles/hr. How much distance will it cover in 2 hours?
Solution:
Speed of the car = 5√396 miles/hr
Time = 2 hours
Speed = distance ÷ time
Distance = speed × time
= 5√396 × 2
= 10 × √396
Here, √396 can be simplified as √(9 × 44)
= 10 × √(9 × 44)
= 10 × 3 × √44
We know that square root of 44 is 6.633. On putting the values.
=30 × 6.633=198.9 miles
Therefore, the car will cover 198.9 miles
FAQs On Square Root of 44
What is the square root of 44?
The square root of 44 is 6.63 approximated to 2 decimal places.
How do you simplify the square root of 44?
2√11 is the simplest form of √44.
44 is the square root of which number?
44 is the square root of 1936.
Is √44 a rational number?
√44 is an irrational number, because the value of √44 is a nonteminating decimal.
How to find the square root of 44?
The accurate value of √44 can be evaluated using the long division method.
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