The square source of 481 is expressed together √481 in the radical kind and as (481)½ or (481)0.5 in the exponent form. The square root of 481 rounded as much as 10 decimal places is 21.9317121995. The is the confident solution of the equation x2 = 481.

You are watching: What is the square root of 481

Square source of 481: 21.93171219946131Square source of 481 in exponential form: (481)½ or (481)0.5Square source of 481 in radical form: √481

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1.What is the Square root of 481?
2.How to uncover the Square root of 481?
3.Is the Square source of 481 Irrational?
4.FAQs

The square root of 481, (or root 481), is the number which when multiplied by itself offers the product together 481. Therefore, the square source of 481 = √481 = 21.93171219946131.

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Value the √481 through Long department Method

Explanation:

Forming pairs: 04 and also 81Find a number Y (2) such the whose square is carry down the following pair 81, to the appropriate of the remainder 0. The new dividend is now 81.Add the critical digit of the quotient (2) come the divisor (2) i.e. 2 + 2 = 4. Come the appropriate of 4, discover a digit Z (which is 1) such that 4Z × Z divide 81 by 41 with the quotient together 1, offering the remainder = 81 - 41 × 1 = 81 - 41 = 40.Now, let"s uncover the decimal places after the quotient 21.Bring down 00 come the appropriate of this remainder 40. The brand-new dividend is now 4000.Add the last digit of quotient come divisor i.e. 1 + 41 = 42. To the appropriate of 42, discover a digit Z (which is 9) such that 42Z × Z division 4000 by 429 through the quotient together 9, offering the remainder = 4000 - 429 × 9 = 4000 - 3861 = 139.Bring under 00 again. Repeat over steps because that finding more decimal areas for the square source of 481.

Therefore, the square source of 481 through long division method is 21.9 approximately.


Is Square root of 481 Irrational?


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Square source of 481 fixed Examples


Example 1: fix the equation x2 − 481 = 0

Solution:

x2 - 481 = 0 i.e. X2 = 481x = ±√481Since the worth of the square source of 481 is 21.932,⇒ x = +√481 or -√481 = 21.932 or -21.932.


Example 2: If the area of a one is 481π in2. Find the radius the the circle.

Solution:

Let "r" be the radius the the circle.⇒ Area that the circle = πr2 = 481π in2⇒ r = ±√481 inSince radius can"t it is in negative,⇒ r = √481The square root of 481 is 21.932.⇒ r = 21.932 in


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FAQs on the Square source of 481

What is the worth of the Square root of 481?

The square root of 481 is 21.93171.

Why is the Square source of 481 an Irrational Number?

Upon element factorizing 481 i.e. 131 × 371, 13 is in odd power. Therefore, the square root of 481 is irrational.

If the Square root of 481 is 21.932. Find the worth of the Square root of 4.81.

Let us stand for √4.81 in p/q type i.e. √(481/100) = 4.81/10 = 2.193. Hence, the value of √4.81 = 2.193

Is the number 481 a Perfect Square?

The element factorization that 481 = 131 × 371. Here, the prime variable 13 is no in the pair. Therefore, 481 is not a perfect square.

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What is the Square source of -481?

The square root of -481 is an imagine number. It have the right to be written as √-481 = √-1 × √481 = i √481 = 21.931iwhere i = √-1 and it is referred to as the imaginary unit.

What is the Square source of 481 in easiest Radical Form?

We should express 481 as the product the its prime factors i.e. 481 = 13 × 37. Therefore, together visible, the radical type of the square source of 481 can not be simplified further. Therefore, the most basic radical form of the square source of 481 can be created as √481