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Square Root of 881

The square root of 881 is expressed as √881 in the radical form and as (881)^½ or (881)^0.5 in the exponent form. The square root of 881 rounded up to 5 decimal places is 29.68164. It is the positive solution of the equation x² = 881.

Square Root of 881: 29.68164415931166
Square Root of 881 in exponential form: (881)^½ or (881)^0.5
Square Root of 881 in radical form: √881

Square Root of 881

1.	What is the Square Root of 881?
2.	How to find the Square Root of 881?
3.	Is the Square Root of 881 Irrational?
4.	FAQs

What is the Square Root of 881?

The square root of 881, (or root 881), is the number which when multiplied by itself gives the product as 881. Therefore, the square root of 881 = √881 = 29.68164415931166.

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How to Find Square Root of 881?

Square Root of 881 by Long Division Method

Value of √881 by Long Division Method

Explanation:

Forming pairs: 08 and 81
Find a number Y (2) such that whose square is <= 8. Now divide 08 by 2 with quotient as 2.
Bring down the next pair 81, to the right of the remainder 4. The new dividend is now 481.
Add the last digit of the quotient (2) to the divisor (2) i.e. 2 + 2 = 4. To the right of 4, find a digit Z (which is 9) such that 4Z × Z <= 481. After finding Z, together 4 and Z (9) form a new divisor 49 for the new dividend 481.
Divide 481 by 49 with the quotient as 9, giving the remainder = 481 - 49 × 9 = 481 - 441 = 40.
Now, let's find the decimal places after the quotient 29.
Bring down 00 to the right of this remainder 40. The new dividend is now 4000.
Add the last digit of quotient to divisor i.e. 9 + 49 = 58. To the right of 58, find a digit Z (which is 6) such that 58Z × Z <= 4000. Together they form a new divisor (586) for the new dividend (4000).
Divide 4000 by 586 with the quotient as 6, giving the remainder = 4000 - 586 × 6 = 4000 - 3516 = 484.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 881.

Therefore, the square root of 881 by long division method is 29.6 approximately.

Is Square Root of 881 Irrational?

The actual value of √881 is undetermined. The value of √881 up to 25 decimal places is 29.68164415931166034165417. Hence, the square root of 881 is an irrational number.

☛ Also Check:

Square Root of 23 - √23 = 4.79583
Square Root of 225 - √225 = 15
Square Root of 100 - √100 = 10
Square Root of 13 - √13 = 3.60555
Square Root of 25 - √25 = 5
Square Root of 42 - √42 = 6.48074
Square Root of 288 - √288 = 16.97056

Square Root of 881 Solved Examples

Example 1: Solve the equation x² − 881 = 0

Solution:

x² - 881 = 0 i.e. x² = 881
x = ±√881
Since the value of the square root of 881 is 29.682,
⇒ x = +√881 or -√881 = 29.682 or -29.682.
Example 2: If the area of a square is 881 in². Find the length of the side of the square.

Solution:

Let 'a' be the length of the side of the square.
⇒ Area of the square = a² = 881 in²
⇒ a = ±√881 in
Since length can't be negative,
⇒ a = √881 = 29.682 in
Example 3: If the area of a circle is 881π in². Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle.
⇒ Area of the circle = πr² = 881π in²
⇒ r = ±√881 in
Since radius can't be negative,
⇒ r = √881
The square root of 881 is 29.682.
⇒ r = 29.682 in

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FAQs on the Square Root of 881

What is the Value of the Square Root of 881?

The square root of 881 is 29.68164.

Why is the Square Root of 881 an Irrational Number?

The number 881 is prime. This implies that the number 881 is pairless and is not in the power of 2. Therefore, the square root of 881 is irrational.

What is the Square Root of 881 in Simplest Radical Form?

The number 881 is a prime number. This implies that the number 881 is pairless and is not in the power of 2. Therefore, the radical form of square root of 881 cannot be simplified further.

What is the Value of 13 square root 881?

The square root of 881 is 29.682. Therefore, 13 √881 = 13 × 29.682 = 385.861.

What is the Square of the Square Root of 881?

The square of the square root of 881 is the number 881 itself i.e. (√881)² = (881)^2/2 = 881.

Is the number 881 a Perfect Square?

The number 881 is prime. This implies that the square root of 881 cannot be expressed as a product of two equal integers. Therefore, the number 881 is not a perfect square.

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