The square source of 353 is expressed together √353 in the radical form and as (353)½ or (353)0.5 in the exponent form. The square root of 353 rounded as much as 10 decimal places is 18.7882942281. That is the hopeful solution the the equation x2 = 353.

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Square source of 353: 18.788294228055936Square source of 353 in exponential form: (353)½ or (353)0.5Square source of 353 in radical form: √353

 1 What is the Square root of 353? 2 How to uncover the Square source of 353? 3 Is the Square root of 353 Irrational? 4 FAQs

The square root of 353, (or root 353), is the number which as soon as multiplied by itself offers the product as 353. Therefore, the square source of 353 = √353 = 18.788294228055936.

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Value of √353 by Long department Method

Explanation:

Forming pairs: 03 and also 53Find a number Y (1) such that whose square is carry down the next pair 53, come the right of the remainder 2. The brand-new dividend is currently 253.Add the critical digit the the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. Come the ideal of 2, find a digit Z (which is 8) such the 2Z × Z divide 253 by 28 v the quotient as 8, giving the remainder = 253 - 28 × 8 = 253 - 224 = 29.Now, let"s find the decimal locations after the quotient 18.Bring under 00 to the ideal of this remainder 29. The brand-new dividend is currently 2900.Add the critical digit the quotient to divisor i.e. 8 + 28 = 36. To the ideal of 36, discover a digit Z (which is 7) such the 36Z × Z divide 2900 by 367 through the quotient as 7, offering the remainder = 2900 - 367 × 7 = 2900 - 2569 = 331.Bring down 00 again. Repeat over steps for finding more decimal areas for the square root of 353.

Therefore, the square source of 353 through long division method is 18.7 approximately.

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Square root of 353 addressed Examples

Example 1: resolve the equation x2 − 353 = 0

Solution:

x2 - 353 = 0 i.e. X2 = 353x = ±√353Since the worth of the square source of 353 is 18.788,⇒ x = +√353 or -√353 = 18.788 or -18.788.

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FAQs on the Square source of 353

What is the worth of the Square root of 353?

The square source of 353 is 18.78829.

Why is the Square root of 353 an Irrational Number?

The number 353 is prime. This suggests that the number 353 is pairless and is not in the power of 2. Therefore, the square root of 353 is irrational.

Is the number 353 a Perfect Square?

The number 353 is prime. This indicates that the square root of 353 can not be expressed as a product of 2 equal integers. Therefore, the number 353 is no a perfect square.

What is the Square of the Square source of 353?

The square that the square root of 353 is the number 353 chin i.e. (√353)2 = (353)2/2 = 353.

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What is the Square root of -353?

The square root of -353 is an imaginary number. It have the right to be created as √-353 = √-1 × √353 = ns √353 = 18.788iwhere ns = √-1 and also it is referred to as the imagine unit.

Evaluate 6 plus 16 square source 353

The given expression is 6 + 16 √353. We recognize that the square root of 353 is 18.788. Therefore, 6 + 16 √353 = 6 + 16 × 18.788 = 6 + 300.613 = 306.613