Square Root of 265
The square root of 265 is expressed as √265 in the radical form and as (265)^{½} or (265)^{0.5} in the exponent form. The square root of 265 rounded up to 5 decimal places is 16.27882. It is the positive solution of the equation x^{2} = 265.
 Square Root of 265: 16.278820596099706
 Square Root of 265 in exponential form: (265)^{½} or (265)^{0.5}
 Square Root of 265 in radical form: √265
1.  What is the Square Root of 265? 
2.  How to find the Square Root of 265? 
3.  Is the Square Root of 265 Irrational? 
4.  FAQs 
What is the Square Root of 265?
The square root of 265, (or root 265), is the number which when multiplied by itself gives the product as 265. Therefore, the square root of 265 = √265 = 16.278820596099706.
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How to Find Square Root of 265?
Value of √265 by Long Division Method
Explanation:
 Forming pairs: 02 and 65
 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 65, to the right of the remainder 1. The new dividend is now 165.
 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 <= 165. After finding Z, together 2 and Z (6) form a new divisor 26 for the new dividend 165.
 Divide 165 by 26 with the quotient as 6, giving the remainder = 165  26 × 6 = 165  156 = 9.
 Now, let's find the decimal places after the quotient 16.
 Bring down 00 to the right of this remainder 9. The new dividend is now 900.
 Add the last digit of quotient to divisor i.e. 6 + 26 = 32. To the right of 32, find a digit Z (which is 2) such that 32Z × Z <= 900. Together they form a new divisor (322) for the new dividend (900).
 Divide 900 by 322 with the quotient as 2, giving the remainder = 900  322 × 2 = 900  644 = 256.
 Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 265.
Therefore, the square root of 265 by long division method is 16.2 approximately.
Is Square Root of 265 Irrational?
The actual value of √265 is undetermined. The value of √265 up to 25 decimal places is 16.27882059609970638735302. Hence, the square root of 265 is an irrational number.
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Square Root of 265 Solved Examples

Example 1: Solve the equation x^{2} − 265 = 0
Solution:
x^{2}  265 = 0 i.e. x^{2} = 265
x = ±√265
Since the value of the square root of 265 is 16.279,
⇒ x = +√265 or √265 = 16.279 or 16.279. 
Example 2: If the area of a circle is 265π in^{2}. Find the radius of the circle.
Solution:
Let 'r' be the radius of the circle.
⇒ Area of the circle = πr^{2} = 265π in^{2}
⇒ r = ±√265 in
Since radius can't be negative,
⇒ r = √265
The square root of 265 is 16.279.
⇒ r = 16.279 in 
Example 3: If the surface area of a cube is 1590 in^{2}. Find the length of the side of the cube.
Solution:
Let 'a' be the length of the side of the cube.
⇒ Area of the cube = 6a^{2} = 1590 in^{2}
⇒ a = ±√265 in
Since length can't be negative,
⇒ a = √265
We know that the square root of 265 is 16.279.
⇒ a = 16.279 in
FAQs on the Square Root of 265
What is the Value of the Square Root of 265?
The square root of 265 is 16.27882.
Why is the Square Root of 265 an Irrational Number?
Upon prime factorizing 265 i.e. 5^{1} × 53^{1}, 5 is in odd power. Therefore, the square root of 265 is irrational.
Evaluate 18 plus 11 square root 265
The given expression is 18 + 11 √265. We know that the square root of 265 is 16.279. Therefore, 18 + 11 √265 = 18 + 11 × 16.279 = 18 + 179.067 = 197.067
What is the Square of the Square Root of 265?
The square of the square root of 265 is the number 265 itself i.e. (√265)^{2} = (265)^{2/2} = 265.
If the Square Root of 265 is 16.279. Find the Value of the Square Root of 2.65.
Let us represent √2.65 in p/q form i.e. √(265/100) = 2.65/10 = 1.628. Hence, the value of √2.65 = 1.628
Is the number 265 a Perfect Square?
The prime factorization of 265 = 5^{1} × 53^{1}. Here, the prime factor 5 is not in the pair. Therefore, 265 is not a perfect square.