The square source of 864 is expressed as √864 in the radical type and as (864)½ or (864)0.5 in the exponent form. The square source of 864 rounded approximately 10 decimal areas is 29.3938769134. It is the optimistic solution that the equation x2 = 864. We can express the square source of 864 in its shortest radical kind as 12 √6.

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Square source of 864: 29.393876913398138Square source of 864 in exponential form: (864)½ or (864)0.5Square source of 864 in radical form: √864 or 12 √6

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1.What is the Square source of 864?
2.How to uncover the Square root of 864?
3.Is the Square root of 864 Irrational?
4.FAQs

The square source of 864, (or source 864), is the number which as soon as multiplied through itself offers the product as 864. Therefore, the square source of 864 = √864 = 12 √6 = 29.393876913398138.

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Value that √864 by Long department Method

Explanation:

Forming pairs: 08 and 64Find a number Y (2) such the whose square is bring down the next pair 64, come the best of the remainder 4. The new dividend is now 464.Add the last digit the the quotient (2) to the divisor (2) i.e. 2 + 2 = 4. To the right of 4, uncover a digit Z (which is 9) such that 4Z × Z division 464 by 49 with the quotient together 9, giving the remainder = 464 - 49 × 9 = 464 - 441 = 23.Now, let's find the decimal locations after the quotient 29.Bring under 00 come the appropriate of this remainder 23. The new dividend is now 2300.Add the critical digit the quotient to divisor i.e. 9 + 49 = 58. Come the ideal of 58, discover a number Z (which is 3) such that 58Z × Z division 2300 by 583 with the quotient together 3, providing the remainder = 2300 - 583 × 3 = 2300 - 1749 = 551.Bring under 00 again. Repeat over steps because that finding an ext decimal areas for the square root of 864.

Therefore, the square root of 864 by long division method is 29.3 approximately.


The actual value of √864 is undetermined. The worth of √864 as much as 25 decimal locations is 29.39387691339813717836741. Hence, the square root of 864 is one irrational number.

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Example 1: fix the equation x2 − 864 = 0

Solution:

x2 - 864 = 0 i.e. X2 = 864x = ±√864Since the worth of the square root of 864 is 29.394,⇒ x = +√864 or -√864 = 29.394 or -29.394.


Example 3: If the area that a one is 864π in2. Uncover the radius that the circle.

Solution:

Let 'r' be the radius the the circle.⇒ Area the the circle = πr2 = 864π in2⇒ r = ±√864 inSince radius can't it is in negative,⇒ r = √864The square root of 864 is 29.394.⇒ r = 29.394 in


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FAQs ~ above the Square root of 864

What is the value of the Square root of 864?

The square root of 864 is 29.39387.

Why is the Square source of 864 one Irrational Number?

Upon prime factorizing 864 i.e. 25 × 33, 2 is in weird power. Therefore, the square source of 864 is irrational.

What is the Square root of 864 in simplest Radical Form?

We need to express 864 together the product of its prime components i.e. 864 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Therefore, √864 = √2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 12 √6. Thus, the square root of 864 in the lowest radical type is 12 √6.

If the Square source of 864 is 29.394. Find the worth of the Square source of 8.64.

Let us stand for √8.64 in p/q type i.e. √(864/100) = 8.64/10 = 2.939. Hence, the worth of √8.64 = 2.939

What is the Square of the Square source of 864?

The square of the square source of 864 is the number 864 chin i.e. (√864)2 = (864)2/2 = 864.

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What is the value of 7 square source 864?

The square source of 864 is 29.394. Therefore, 7 √864 = 7 × 29.394 = 205.757.