The square root of 864 is expressed together √864 in the radical form and as (864)½ or (864)0.5 in the exponent form. The square source of 864 rounded approximately 10 decimal places is 29.3938769134. The is the confident solution that the equation x2 = 864. We can express the square root of 864 in its lowest radical type as 12 √6.

You are watching: What is the square root of 864

Square root of 864: 29.393876913398138Square source of 864 in exponential form: (864)½ or (864)0.5Square root of 864 in radical form: √864 or 12 √6 1 What is the Square source of 864? 2 How to find the Square source of 864? 3 Is the Square root of 864 Irrational? 4 FAQs

The square root of 864, (or root 864), is the number which once multiplied through itself provides the product together 864. Therefore, the square root of 864 = √864 = 12 √6 = 29.393876913398138.

☛ Check: Square source Calculator ### Value of √864 through Long division Method

Explanation:

Forming pairs: 08 and also 64Find a number Y (2) such the whose square is lug down the next pair 64, to the right of the remainder 4. The brand-new dividend is now 464.Add the last digit the the quotient (2) to the divisor (2) i.e. 2 + 2 = 4. Come the best of 4, uncover a digit Z (which is 9) such that 4Z × Z divide 464 by 49 with the quotient together 9, giving the remainder = 464 - 49 × 9 = 464 - 441 = 23.Now, let's uncover the decimal places after the quotient 29.Bring under 00 to the best of this remainder 23. The brand-new dividend is currently 2300.Add the critical digit of quotient come divisor i.e. 9 + 49 = 58. Come the right of 58, find a number Z (which is 3) such that 58Z × Z divide 2300 by 583 v the quotient as 3, giving the remainder = 2300 - 583 × 3 = 2300 - 1749 = 551.Bring under 00 again. Repeat above steps for finding more decimal areas for the square source of 864.

Therefore, the square source of 864 through long division method is 29.3 approximately.

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

Example 1: solve the equation x2 − 864 = 0

Solution:

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

Example 3: If the area the a circle is 864π in2. Discover the radius the the circle.

Solution:

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

Show solution >

go to slidego to slidego come slide Ready to check out the people through math’s eyes?
Math is in ~ the main point of everything we do. Reap solving real-world math troubles in live classes and also become an expert at everything.

## FAQs top top the Square root of 864

### What is the value of the Square root of 864?

The square source of 864 is 29.39387.

### Why is the Square source of 864 one Irrational Number?

Upon element factorizing 864 i.e. 25 × 33, 2 is in odd power. Therefore, the square root of 864 is irrational.

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

We must express 864 as the product the its prime factors 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 form 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 form i.e. √(864/100) = 8.64/10 = 2.939. Hence, the value of √8.64 = 2.939

### What is the Square the the Square source of 864?

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

See more: How Long Is Half Time Nba ? Quarter How Long Is Halftime In Nba

### What is the worth of 7 square root 864?

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