Square Root of 279
The square root of 279 is expressed as √279 in the radical form and as (279)^{½} or (279)^{0.5} in the exponent form. The square root of 279 rounded up to 5 decimal places is 16.70329. It is the positive solution of the equation x^{2} = 279. We can express the square root of 279 in its lowest radical form as 3 √31.
 Square Root of 279: 16.703293088490067
 Square Root of 279 in exponential form: (279)^{½} or (279)^{0.5}
 Square Root of 279 in radical form: √279 or 3 √31
1.  What is the Square Root of 279? 
2.  How to find the Square Root of 279? 
3.  Is the Square Root of 279 Irrational? 
4.  FAQs 
What is the Square Root of 279?
The square root of 279, (or root 279), is the number which when multiplied by itself gives the product as 279. Therefore, the square root of 279 = √279 = 3 √31 = 16.703293088490067.
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How to Find Square Root of 279?
Value of √279 by Long Division Method
Explanation:
 Forming pairs: 02 and 79
 Find a number Y (1) such that whose square is <= 2. Now divide 02 by 1 with quotient as 1.
 Bring down the next pair 79, to the right of the remainder 1. The new dividend is now 179.
 Add the last digit of the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. To the right of 2, find a digit Z (which is 6) such that 2Z × Z <= 179. After finding Z, together 2 and Z (6) form a new divisor 26 for the new dividend 179.
 Divide 179 by 26 with the quotient as 6, giving the remainder = 179  26 × 6 = 179  156 = 23.
 Now, let's find the decimal places after the quotient 16.
 Bring down 00 to the right of this remainder 23. The new dividend is now 2300.
 Add the last digit of quotient to divisor i.e. 6 + 26 = 32. To the right of 32, find a digit Z (which is 7) such that 32Z × Z <= 2300. Together they form a new divisor (327) for the new dividend (2300).
 Divide 2300 by 327 with the quotient as 7, giving the remainder = 2300  327 × 7 = 2300  2289 = 11.
 Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 279.
Therefore, the square root of 279 by long division method is 16.7 approximately.
Is Square Root of 279 Irrational?
The actual value of √279 is undetermined. The value of √279 up to 25 decimal places is 16.70329308849006576635841. Hence, the square root of 279 is an irrational number.
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Square Root of 279 Solved Examples

Example 1: Solve the equation x^{2} − 279 = 0
Solution:
x^{2}  279 = 0 i.e. x^{2} = 279
x = ±√279
Since the value of the square root of 279 is 16.703,
⇒ x = +√279 or √279 = 16.703 or 16.703. 
Example 2: If the surface area of a sphere is 1116π in^{2}. Find the radius of the sphere.
Solution:
Let 'r' be the radius of the sphere.
⇒ Area of the sphere = 4πr^{2} = 1116π in^{2}
⇒ r = ±√279 in
Since radius can't be negative,
⇒ r = √279
The square root of 279 is 16.703.
⇒ r = 16.703 in 
Example 3: If the area of an equilateral triangle is 279√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} = 279√3 in^{2}
⇒ a = ±√1116 in
Since length can't be negative,
⇒ a = √1116 = 2 √279
We know that the square root of 279 is 16.703.
⇒ a = 33.407 in
FAQs on the Square Root of 279
What is the Value of the Square Root of 279?
The square root of 279 is 16.70329.
Why is the Square Root of 279 an Irrational Number?
Upon prime factorizing 279 i.e. 3^{2} × 31^{1}, 31 is in odd power. Therefore, the square root of 279 is irrational.
What is the Value of 9 square root 279?
The square root of 279 is 16.703. Therefore, 9 √279 = 9 × 16.703 = 150.330.
Evaluate 4 plus 17 square root 279
The given expression is 4 + 17 √279. We know that the square root of 279 is 16.703. Therefore, 4 + 17 √279 = 4 + 17 × 16.703 = 4 + 283.956 = 287.956
Is the number 279 a Perfect Square?
The prime factorization of 279 = 3^{2} × 31^{1}. Here, the prime factor 31 is not in the pair. Therefore, 279 is not a perfect square.
What is the Square Root of 279?
The square root of 279 is an imaginary number. It can be written as √279 = √1 × √279 = i √279 = 16.703i
where i = √1 and it is called the imaginary unit.