The square source of 212 is expressed together √212 in the radical kind and as (212)½ or (212)0.5 in the exponent form. The square source of 212 rounded approximately 8 decimal locations is 14.56021978. That is the optimistic solution the the equation x2 = 212. We can express the square root of 212 in its lowest radical form as 2 √53.

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Square source of 212: 14.560219778561036Square root of 212 in exponential form: (212)½ or (212)0.5Square source of 212 in radical form: √212 or 2 √53

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1.What is the Square source of 212?
2.How to find the Square source of 212?
3.Is the Square root of 212 Irrational?
4.FAQs

The square root of 212, (or root 212), is the number which when multiplied by itself gives the product as 212. Therefore, the square source of 212 = √212 = 2 √53 = 14.560219778561036.

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Value of √212 through Long department Method

Explanation:

Forming pairs: 02 and 12Find a number Y (1) such that whose square is carry down the next pair 12, come the appropriate of the remainder 1. The new dividend is now 112.Add the last digit that the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. To the ideal of 2, find a digit Z (which is 4) such the 2Z × Z division 112 through 24 with the quotient as 4, giving the remainder = 112 - 24 × 4 = 112 - 96 = 16.Now, let"s discover the decimal locations after the quotient 14.Bring down 00 to the best of this remainder 16. The new dividend is now 1600.Add the critical digit the quotient to divisor i.e. 4 + 24 = 28. Come the right of 28, discover a number Z (which is 5) such that 28Z × Z divide 1600 through 285 v the quotient together 5, giving the remainder = 1600 - 285 × 5 = 1600 - 1425 = 175.Bring down 00 again. Repeat above steps because that finding more decimal areas for the square source of 212.

Therefore, the square source of 212 by long division method is 14.5 approximately.


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Example 1: fix the equation x2 − 212 = 0

Solution:

x2 - 212 = 0 i.e. X2 = 212x = ±√212Since the value of the square source of 212 is 14.560,⇒ x = +√212 or -√212 = 14.560 or -14.560.


Example 3: If the area that a circle is 212π in2. Discover the radius the the circle.

Solution:

Let "r" be the radius that the circle.⇒ Area that the circle = πr2 = 212π in2⇒ r = ±√212 inSince radius can"t be negative,⇒ r = √212The square source of 212 is 14.560.⇒ r = 14.560 in


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FAQs ~ above the Square root of 212

What is the worth of the Square root of 212?

The square source of 212 is 14.56021.

Why is the Square source of 212 an Irrational Number?

Upon element factorizing 212 i.e. 22 × 531, 53 is in odd power. Therefore, the square source of 212 is irrational.

If the Square source of 212 is 14.560. Uncover the value of the Square root of 2.12.

Let us represent √2.12 in p/q type i.e. √(212/100) = 2.12/10 = 1.456. Hence, the value of √2.12 = 1.456

What is the Square root of -212?

The square root of -212 is an imagine number. It can be composed as √-212 = √-1 × √212 = ns √212 = 14.56iwhere ns = √-1 and it is dubbed the imagine unit.

Is the number 212 a Perfect Square?

The prime factorization the 212 = 22 × 531. Here, the prime variable 53 is no in the pair. Therefore, 212 is no a perfect square.

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What is the Square of the Square source of 212?

The square that the square source of 212 is the number 212 chin i.e. (√212)2 = (212)2/2 = 212.