The square root of 269 is expressed as √269 in the radical type and together (269)½ or (269)0.5 in the exponent form. The square root of 269 rounded as much as 9 decimal places is 16.401219467. That is the positive solution that the equation x2 = 269.

You are watching: What is the square root of 269

Square source of 269: 16.401219466856727Square source of 269 in exponential form: (269)½ or (269)0.5Square source of 269 in radical form: √269

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1.What is the Square root of 269?
2.How to discover the Square root of 269?
3.Is the Square source of 269 Irrational?
4.FAQs

The square root of 269, (or root 269), is the number which when multiplied through itself gives the product together 269. Therefore, the square source of 269 = √269 = 16.401219466856727.

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Value the √269 by Long department Method

Explanation:

Forming pairs: 02 and also 69Find a number Y (1) such that whose square is carry down the next pair 69, come the right of the remainder 1. The new dividend is currently 169.Add the last digit of the quotient (1) come the divisor (1) i.e. 1 + 1 = 2. Come the appropriate of 2, find a number Z (which is 6) such the 2Z × Z divide 169 by 26 v the quotient as 6, offering the remainder = 169 - 26 × 6 = 169 - 156 = 13.Now, let"s find the decimal areas after the quotient 16.Bring down 00 to the best of this remainder 13. The brand-new dividend is now 1300.Add the last digit of quotient come divisor i.e. 6 + 26 = 32. Come the appropriate of 32, uncover a number Z (which is 4) such the 32Z × Z division 1300 through 324 v the quotient as 4, giving the remainder = 1300 - 324 × 4 = 1300 - 1296 = 4.Bring under 00 again. Repeat over steps for finding more decimal places for the square source of 269.

Therefore, the square source of 269 by long department method is 16.4 approx.


Is Square source of 269 Irrational?


The actual worth of √269 is undetermined. The value of √269 approximately 25 decimal places is 16.40121946685672516307471. Hence, the square source of 269 is an irrational number.

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Square source of 269 resolved Examples


Example 1: fix the equation x2 − 269 = 0

Solution:

x2 - 269 = 0 i.e. X2 = 269x = ±√269Since the value of the square source of 269 is 16.401,⇒ x = +√269 or -√269 = 16.401 or -16.401.


Example 2: If the area of a circle is 269π in2. Uncover the radius the the circle.

Solution:

Let "r" be the radius that the circle.⇒ Area the the circle = πr2 = 269π in2⇒ r = ±√269 inSince radius can"t it is in negative,⇒ r = √269The square root of 269 is 16.401.⇒ r = 16.401 in


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FAQs ~ above the Square source of 269

What is the value of the Square source of 269?

The square root of 269 is 16.40121.

Why is the Square source of 269 an Irrational Number?

The number 269 is prime. This means that the number 269 is pairless and is not in the strength of 2. Therefore, the square source of 269 is irrational.

If the Square source of 269 is 16.401. Discover the worth of the Square root of 2.69.

Let us stand for √2.69 in p/q kind i.e. √(269/100) = 2.69/10 = 1.640. Hence, the worth of √2.69 = 1.640

What is the Square root of 269 in simplest Radical Form?

The number 269 is a element number. This implies that the number 269 is pairless and is no in the power of 2. Therefore, the radical kind of square source of 269 cannot be streamlined further.

See more: Which Chemical Name Is Correctly Paired With The Chemical Formula

What is the worth of 19 square source 269?

The square source of 269 is 16.401. Therefore, 19 √269 = 19 × 16.401 = 311.623.

Evaluate 11 to add 15 square root 269

The given expression is 11 + 15 √269. We understand that the square source of 269 is 16.401. Therefore, 11 + 15 √269 = 11 + 15 × 16.401 = 11 + 246.018 = 257.018