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: 44² = 1936

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: a² = 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

The square root of 44 is an irrational number with never-ending digits. √44 = 6.63324958071. Due to the nature of its non-repeating and non-terminating 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

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 6² = 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.

Explore Square roots using illustrations and interactive examples

• Square root of 74
• Square root of 41
• Square root of 34
• Square root of 56
• Square root of 65

• The square root of 44  ≈ 6.63
• The square root of 44 in its radical form is 2√11
• √44 is irrational.

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 non-teminating decimal.

How to find the square root of 44?

The accurate value of √44 can be evaluated using the long division method.