The square source of 122 is expressed as √122 in the radical type and as (122)½ or (122)0.5 in the exponent form. The square root of 122 rounded as much as 7 decimal areas is 11.0453610. It is the positive solution the the equation x2 = 122.

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Square source of 122: 11.045361017187261Square root of 122 in exponential form: (122)½ or (122)0.5Square root of 122 in radical form: √122

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1.What is the Square root of 122?
2.How to discover the Square source of 122?
3.Is the Square root of 122 Irrational?
4.FAQs

The square source of 122, (or source 122), is the number which as soon as multiplied by itself provides the product as 122. Therefore, the square source of 122 = √122 = 11.045361017187261.

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Value the √122 through Long division Method

Explanation:

Forming pairs: 01 and 22Find a number Y (1) such the whose square is lug down the next pair 22, to the appropriate of the remainder 0. The new dividend is currently 22.Add the last digit that the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. Come the best of 2, uncover a digit Z (which is 1) such the 2Z × Z division 22 by 21 through the quotient as 1, offering the remainder = 22 - 21 × 1 = 22 - 21 = 1.Now, let's uncover the decimal locations after the quotient 11.Bring under 00 come the best of this remainder 1. The brand-new dividend is now 100.Add the last digit of quotient to divisor i.e. 1 + 21 = 22. To the appropriate of 22, uncover a number Z (which is 0) such that 22Z × Z division 100 by 220 v the quotient as 0, offering the remainder = 100 - 220 × 0 = 100 - 0 = 100.Bring under 00 again. Repeat over steps because that finding much more decimal places for the square source of 122.

Therefore, the square root of 122 by long department method is 11.0 approximately.


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Example 1: solve the equation x2 − 122 = 0

Solution:

x2 - 122 = 0 i.e. X2 = 122x = ±√122Since the worth of the square root of 122 is 11.045,⇒ x = +√122 or -√122 = 11.045 or -11.045.


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FAQs top top the Square root of 122

What is the value of the Square source of 122?

The square root of 122 is 11.04536.

Why is the Square root of 122 one Irrational Number?

Upon element factorizing 122 i.e. 21 × 611, 2 is in weird power. Therefore, the square source of 122 is irrational.

What is the Square source of -122?

The square source of -122 is an imaginary number. It deserve to be written as √-122 = √-1 × √122 = i √122 = 11.045iwhere i = √-1 and it is called the imaginary unit.

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Evaluate 3 add to 6 square source 122

The offered expression is 3 + 6 √122. We know that the square source of 122 is 11.045. Therefore, 3 + 6 √122 = 3 + 6 × 11.045 = 3 + 66.272 = 69.272

Is the number 122 a Perfect Square?

The element factorization the 122 = 21 × 611. Here, the prime factor 2 is not in the pair. Therefore, 122 is no a perfect square.

What is the Square root of 122 in most basic Radical Form?

We need to express 122 together the product the its prime factors i.e. 122 = 2 × 61. Therefore, as visible, the radical type of the square root of 122 can not be streamlined further. Therefore, the most basic radical kind of the square source of 122 deserve to be created as √122