The square root of 242 is expressed as √242 in the radical type and as (242)½ or (242)0.5 in the exponent form. The square source of 242 rounded approximately 10 decimal areas is 15.5563491861. The is the positive solution of the equation x2 = 242. We have the right to express the square root of 242 in its lowest radical kind as 11 √2.

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Square source of 242: 15.556349186104045Square source of 242 in exponential form: (242)½ or (242)0.5Square root of 242 in radical form: √242 or 11 √2

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1.What is the Square source of 242?
2.How to discover the Square source of 242?
3.Is the Square source of 242 Irrational?
4.FAQs

The square source of 242, (or source 242), is the number which when multiplied by itself offers the product together 242. Therefore, the square root of 242 = √242 = 11 √2 = 15.556349186104045.

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Value the √242 by Long division Method

Explanation:

Forming pairs: 02 and 42Find a number Y (1) such that whose square is carry down the next pair 42, to the best of the remainder 1. The brand-new dividend is now 142.Add the last digit that the quotient (1) come the divisor (1) i.e. 1 + 1 = 2. Come the ideal of 2, find a digit Z (which is 5) such the 2Z × Z division 142 through 25 v the quotient together 5, providing the remainder = 142 - 25 × 5 = 142 - 125 = 17.Now, let"s discover the decimal areas after the quotient 15.Bring down 00 come the best of this remainder 17. The brand-new dividend is currently 1700.Add the last digit that quotient come divisor i.e. 5 + 25 = 30. Come the best of 30, find a number Z (which is 5) such the 30Z × Z division 1700 by 305 with the quotient together 5, offering the remainder = 1700 - 305 × 5 = 1700 - 1525 = 175.Bring down 00 again. Repeat over steps because that finding more decimal areas for the square root of 242.

Therefore, the square source of 242 through long department method is 15.5 approx.


The actual worth of √242 is undetermined. The worth of √242 approximately 25 decimal places is 15.55634918610404553681858. Hence, the square source of 242 is an irrational number.

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Example 1: resolve the equation x2 − 242 = 0

Solution:

x2 - 242 = 0 i.e. X2 = 242x = ±√242Since the value of the square root of 242 is 15.556,⇒ x = +√242 or -√242 = 15.556 or -15.556.


Example 2: If the area the a circle is 242π in2. Discover the radius of the circle.

Solution:

Let "r" it is in the radius of the circle.⇒ Area the the circle = πr2 = 242π in2⇒ r = ±√242 inSince radius can"t it is in negative,⇒ r = √242The square source of 242 is 15.556.⇒ r = 15.556 in


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FAQs top top the Square root of 242

What is the value of the Square source of 242?

The square source of 242 is 15.55634.

Why is the Square source of 242 one Irrational Number?

Upon prime factorizing 242 i.e. 21 × 112, 2 is in odd power. Therefore, the square source of 242 is irrational.

What is the Square root of -242?

The square root of -242 is an imagine number. It have the right to be written as √-242 = √-1 × √242 = ns √242 = 15.556iwhere i = √-1 and it is referred to as the imagine unit.

If the Square root of 242 is 15.556. Discover the worth of the Square source of 2.42.

Let us represent √2.42 in p/q kind i.e. √(242/100) = 2.42/10 = 1.556. Hence, the value of √2.42 = 1.556

What is the value of 6 square source 242?

The square root of 242 is 15.556. Therefore, 6 √242 = 6 × 15.556 = 93.338.

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Is the number 242 a Perfect Square?

The prime factorization that 242 = 21 × 112. Here, the prime element 2 is not in the pair. Therefore, 242 is not a perfect square.