The square root of 1331 is expressed together √1331 in the radical form and as (1331)½ or (1331)0.5 in the exponent form. The square source of 1331 rounded as much as 9 decimal locations is 36.482872694. It is the hopeful solution of the equation x2 = 1331. We can express the square root of 1331 in its lowest radical type as 11 √11.

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Square source of 1331: 36.4828726939094Square root of 1331 in exponential form: (1331)½ or (1331)0.5Square root of 1331 in radical form: √1331 or 11 √11

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1.What is the Square source of 1331?
2.How to uncover the Square root of 1331?
3.Is the Square source of 1331 Irrational?
4.FAQs

What is the Square source of 1331?


The square root of 1331, (or root 1331), is the number which as soon as multiplied by itself provides the product as 1331. Therefore, the square source of 1331 = √1331 = 11 √11 = 36.4828726939094.

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How to find Square root of 1331?


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Value of √1331 through Long department Method

Explanation:

Forming pairs: 13 and also 31Find a number Y (3) such the whose square is carry down the next pair 31, to the right of the remainder 4. The brand-new dividend is currently 431.Add the last digit the the quotient (3) come the divisor (3) i.e. 3 + 3 = 6. Come the right of 6, discover a number Z (which is 6) such that 6Z × Z divide 431 by 66 v the quotient as 6, giving the remainder = 431 - 66 × 6 = 431 - 396 = 35.Now, let"s discover the decimal locations after the quotient 36.Bring down 00 come the ideal of this remainder 35. The brand-new dividend is currently 3500.Add the critical digit of quotient come divisor i.e. 6 + 66 = 72. To the appropriate of 72, discover a digit Z (which is 4) such the 72Z × Z divide 3500 by 724 v the quotient together 4, giving the remainder = 3500 - 724 × 4 = 3500 - 2896 = 604.Bring under 00 again. Repeat over steps because that finding an ext decimal locations for the square source of 1331.

Therefore, the square root of 1331 by long department method is 36.4 approximately.


Is Square source of 1331 Irrational?


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Square source of 1331 addressed Examples


Example 1: deal with the equation x2 − 1331 = 0

Solution:

x2 - 1331 = 0 i.e. X2 = 1331x = ±√1331Since the value of the square source of 1331 is 36.483,⇒ x = +√1331 or -√1331 = 36.483 or -36.483.


Example 3: If the area that a one is 1331π in2. Find the radius the the circle.

Solution:

Let "r" be the radius that the circle.⇒ Area that the circle = πr2 = 1331π in2⇒ r = ±√1331 inSince radius can"t it is in negative,⇒ r = √1331The square root of 1331 is 36.483.⇒ r = 36.483 in


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FAQs top top the Square source of 1331

What is the value of the Square source of 1331?

The square source of 1331 is 36.48287.

Why is the Square source of 1331 an Irrational Number?

Upon prime factorizing 1331 i.e. 113, 11 is in weird power. Therefore, the square root of 1331 is irrational.

What is the worth of 10 square source 1331?

The square source of 1331 is 36.483. Therefore, 10 √1331 = 10 × 36.483 = 364.829.

What is the Square source of 1331 in simplest Radical Form?

We should express 1331 together the product of its prime determinants i.e. 1331 = 11 × 11 × 11. Therefore, √1331 = √11 × 11 × 11 = 11 √11. Thus, the square source of 1331 in the shortest radical kind is 11 √11.

Is the number 1331 a Perfect Square?

The element factorization of 1331 = 113. Here, the prime factor 11 is no in the pair. Therefore, 1331 is no a perfect square.

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If the Square source of 1331 is 36.483. Find the worth of the Square root of 13.31.

Let us represent √13.31 in p/q type i.e. √(1331/100) = 13.31/10 = 3.648. Hence, the worth of √13.31 = 3.648