Square Root of 2016
The square root of 2016 is expressed as √2016 in the radical form and as (2016)^{½} or (2016)^{0.5} in the exponent form. The square root of 2016 rounded up to 5 decimal places is 44.89989. It is the positive solution of the equation x^{2} = 2016. We can express the square root of 2016 in its lowest radical form as 12 √14.
 Square Root of 2016: 44.8998886412873
 Square Root of 2016 in exponential form: (2016)^{½} or (2016)^{0.5}
 Square Root of 2016 in radical form: √2016 or 12 √14
1.  What is the Square Root of 2016? 
2.  How to find the Square Root of 2016? 
3.  Is the Square Root of 2016 Irrational? 
4.  FAQs 
What is the Square Root of 2016?
The square root of 2016, (or root 2016), is the number which when multiplied by itself gives the product as 2016. Therefore, the square root of 2016 = √2016 = 12 √14 = 44.8998886412873.
☛ Check: Square Root Calculator
How to Find Square Root of 2016?
Value of √2016 by Long Division Method
Explanation:
 Forming pairs: 20 and 16
 Find a number Y (4) such that whose square is <= 20. Now divide 20 by 4 with quotient as 4.
 Bring down the next pair 16, to the right of the remainder 4. The new dividend is now 416.
 Add the last digit of the quotient (4) to the divisor (4) i.e. 4 + 4 = 8. To the right of 8, find a digit Z (which is 4) such that 8Z × Z <= 416. After finding Z, together 8 and Z (4) form a new divisor 84 for the new dividend 416.
 Divide 416 by 84 with the quotient as 4, giving the remainder = 416  84 × 4 = 416  336 = 80.
 Now, let's find the decimal places after the quotient 44.
 Bring down 00 to the right of this remainder 80. The new dividend is now 8000.
 Add the last digit of quotient to divisor i.e. 4 + 84 = 88. To the right of 88, find a digit Z (which is 8) such that 88Z × Z <= 8000. Together they form a new divisor (888) for the new dividend (8000).
 Divide 8000 by 888 with the quotient as 8, giving the remainder = 8000  888 × 8 = 8000  7104 = 896.
 Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 2016.
Therefore, the square root of 2016 by long division method is 44.8 approx.
Is Square Root of 2016 Irrational?
The actual value of √2016 is undetermined. The value of √2016 up to 25 decimal places is 44.89988864128729662700498. Hence, the square root of 2016 is an irrational number.
☛ Also Check:
 Square Root of 54  √54 = 7.34847
 Square Root of 74  √74 = 8.60233
 Square Root of 10  √10 = 3.16228
 Square Root of 44  √44 = 6.63325
 Square Root of 240  √240 = 15.49193
 Square Root of 90  √90 = 9.48683
 Square Root of 676  √676 = 26
Square Root of 2016 Solved Examples

Example 1: Solve the equation x^{2} − 2016 = 0
Solution:
x^{2}  2016 = 0 i.e. x^{2} = 2016
x = ±√2016
Since the value of the square root of 2016 is 44.900,
⇒ x = +√2016 or √2016 = 44.900 or 44.900. 
Example 2: If the area of an equilateral triangle is 2016√3 in^{2}. Find the length of one of the sides of the triangle.
Solution:
Let 'a' be the length of one of the sides of the equilateral triangle.
⇒ Area of the equilateral triangle = (√3/4)a^{2} = 2016√3 in^{2}
⇒ a = ±√8064 in
Since length can't be negative,
⇒ a = √8064 = 2 √2016
We know that the square root of 2016 is 44.900.
⇒ a = 89.800 in 
Example 3: If the area of a square is 2016 in^{2}. Find the length of the side of the square.
Solution:
Let 'a' be the length of the side of the square.
⇒ Area of the square = a^{2} = 2016 in^{2}
⇒ a = ±√2016 in
Since length can't be negative,
⇒ a = √2016 = 44.900 in
FAQs on the Square Root of 2016
What is the Value of the Square Root of 2016?
The square root of 2016 is 44.89988.
Why is the Square Root of 2016 an Irrational Number?
Upon prime factorizing 2016 i.e. 2^{5} × 3^{2} × 7^{1}, 2 is in odd power. Therefore, the square root of 2016 is irrational.
What is the Square of the Square Root of 2016?
The square of the square root of 2016 is the number 2016 itself i.e. (√2016)^{2} = (2016)^{2/2} = 2016.
Evaluate 16 plus 11 square root 2016
The given expression is 16 + 11 √2016. We know that the square root of 2016 is 44.900. Therefore, 16 + 11 √2016 = 16 + 11 × 44.900 = 16 + 493.899 = 509.899
What is the Value of 17 square root 2016?
The square root of 2016 is 44.900. Therefore, 17 √2016 = 17 × 44.900 = 763.298.
If the Square Root of 2016 is 44.900. Find the Value of the Square Root of 20.16.
Let us represent √20.16 in p/q form i.e. √(2016/100) = 20.16/10 = 4.490. Hence, the value of √20.16 = 4.490
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