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

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Square source of 269: 16.401219466856727Square root 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 find the Square root of 269?
3.Is the Square root of 269 Irrational?
4.FAQs

The square source of 269, (or root 269), is the number which as soon as multiplied by itself offers the product together 269. Therefore, the square source of 269 = √269 = 16.401219466856727.

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Value of √269 by Long division Method

Explanation:

Forming pairs: 02 and also 69Find a number Y (1) such that whose square is bring down the following pair 69, to the ideal of the remainder 1. The new dividend is currently 169.Add the last digit that the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. To the appropriate of 2, find a number Z (which is 6) such that 2Z × Z divide 169 by 26 v the quotient as 6, giving the remainder = 169 - 26 × 6 = 169 - 156 = 13.Now, let"s discover the decimal areas after the quotient 16.Bring down 00 come the appropriate of this remainder 13. The new dividend is currently 1300.Add the last digit of quotient to divisor i.e. 6 + 26 = 32. To the ideal of 32, uncover a number Z (which is 4) such that 32Z × Z division 1300 by 324 through the quotient together 4, giving the remainder = 1300 - 324 × 4 = 1300 - 1296 = 4.Bring down 00 again. Repeat above steps because that finding more decimal locations 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 worth of √269 up to 25 decimal areas is 16.40121946685672516307471. Hence, the square root of 269 is one irrational number.

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Square source of 269 solved 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 the a one is 269π in2. Uncover the radius of the circle.

Solution:

Let "r" it is in the radius of the circle.⇒ Area of 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 on the Square source of 269

What is the worth of the Square root of 269?

The square root of 269 is 16.40121.

Why is the Square root of 269 an Irrational Number?

The number 269 is prime. This indicates that the number 269 is pairless and also is not in the power of 2. Therefore, the square root of 269 is irrational.

If the Square root of 269 is 16.401. Uncover the value of the Square root of 2.69.

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

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

The number 269 is a prime number. This means that the number 269 is pairless and is not in the power of 2. Therefore, the radical kind of square source of 269 cannot be simplified further.

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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 source 269

The provided 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