The square source of 356 is expressed together √356 in the radical kind and together (356)½ or (356)0.5 in the exponent form. The square root of 356 rounded approximately 10 decimal places is 18.8679622641. That is the optimistic solution the the equation x2 = 356. We can express the square root of 356 in its shortest radical kind as 2 √89.

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Square source of 356: 18.867962264113206Square source of 356 in exponential form: (356)½ or (356)0.5Square root of 356 in radical form: √356 or 2 √89

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1.What is the Square source of 356?
2.How to discover the Square source of 356?
3.Is the Square root of 356 Irrational?
4.FAQs

The square root of 356, (or source 356), is the number which as soon as multiplied through itself gives the product as 356. Therefore, the square source of 356 = √356 = 2 √89 = 18.867962264113206.

☛ Check: Square source Calculator


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Value the √356 by Long division Method

Explanation:

Forming pairs: 03 and also 56Find a number Y (1) such the whose square is lug down the following pair 56, come the best of the remainder 2. The brand-new dividend is now 256.Add the last digit the the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. Come the appropriate of 2, discover a number Z (which is 8) such the 2Z × Z divide 256 by 28 with the quotient as 8, giving the remainder = 256 - 28 × 8 = 256 - 224 = 32.Now, let"s discover the decimal areas after the quotient 18.Bring under 00 come the right of this remainder 32. The new dividend is now 3200.Add the last digit of quotient to divisor i.e. 8 + 28 = 36. To the best of 36, find a digit Z (which is 8) such the 36Z × Z division 3200 by 368 through the quotient together 8, offering the remainder = 3200 - 368 × 8 = 3200 - 2944 = 256.Bring down 00 again. Repeat over steps because that finding much more decimal places for the square root of 356.

Therefore, the square source of 356 by long division method is 18.8 approximately.


☛ likewise Check:


Example 1: deal with the equation x2 − 356 = 0

Solution:

x2 - 356 = 0 i.e. X2 = 356x = ±√356Since the value of the square source of 356 is 18.868,⇒ x = +√356 or -√356 = 18.868 or -18.868.


Example 3: If the area the a one is 356π in2. Discover the radius of the circle.

Solution:

Let "r" be the radius the the circle.⇒ Area the the one = πr2 = 356π in2⇒ r = ±√356 inSince radius can"t be negative,⇒ r = √356The square root of 356 is 18.868.⇒ r = 18.868 in


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FAQs ~ above the Square source of 356

What is the worth of the Square root of 356?

The square source of 356 is 18.86796.

Why is the Square root of 356 an Irrational Number?

Upon prime factorizing 356 i.e. 22 × 891, 89 is in weird power. Therefore, the square source of 356 is irrational.

Is the number 356 a Perfect Square?

The element factorization of 356 = 22 × 891. Here, the prime variable 89 is no in the pair. Therefore, 356 is not a perfect square.

What is the Square source of -356?

The square root of -356 is an imaginary number. It deserve to be composed as √-356 = √-1 × √356 = i √356 = 18.867iwhere ns = √-1 and also it is dubbed the imaginary unit.

What is the Square of the Square root of 356?

The square that the square source of 356 is the number 356 chin i.e. (√356)2 = (356)2/2 = 356.

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What is the value of 13 square source 356?

The square root of 356 is 18.868. Therefore, 13 √356 = 13 × 18.868 = 245.284.