The square source of 270 is expressed as √270 in the radical kind and together (270)½ or (270)0.5 in the exponent form. The square root of 270 rounded as much as 8 decimal places is 16.43167673. That is the optimistic solution that the equation x2 = 270. We can express the square source of 270 in its lowest radical kind as 3 √30.

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Square source of 270: 16.431676725154983Square root of 270 in exponential form: (270)½ or (270)0.5Square source of 270 in radical form: √270 or 3 √30

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1.What is the Square source of 270?
2.How to find the Square source of 270?
3.Is the Square root of 270 Irrational?
4.FAQs

The square source of 270, (or source 270), is the number which once multiplied through itself provides the product as 270. Therefore, the square root of 270 = √270 = 3 √30 = 16.431676725154983.

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Value of √270 by Long department Method

Explanation:

Forming pairs: 02 and 70Find a number Y (1) such the whose square is lug down the following pair 70, come the best of the remainder 1. The brand-new dividend is currently 170.Add the critical digit of the quotient (1) come the divisor (1) i.e. 1 + 1 = 2. To the right of 2, find a digit Z (which is 6) such that 2Z × Z division 170 by 26 through the quotient together 6, providing the remainder = 170 - 26 × 6 = 170 - 156 = 14.Now, let's discover the decimal places after the quotient 16.Bring under 00 come the right of this remainder 14. The new dividend is now 1400.Add the critical digit of quotient come divisor i.e. 6 + 26 = 32. To the ideal of 32, find a digit Z (which is 4) such that 32Z × Z division 1400 by 324 v the quotient as 4, providing the remainder = 1400 - 324 × 4 = 1400 - 1296 = 104.Bring down 00 again. Repeat above steps because that finding more decimal areas for the square root of 270.

Therefore, the square source of 270 by long department method is 16.4 approx.


The actual value of √270 is undetermined. The value of √270 as much as 25 decimal locations is 16.43167672515498340370909. Hence, the square source of 270 is one irrational number.

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Example 1: solve the equation x2 − 270 = 0

Solution:

x2 - 270 = 0 i.e. X2 = 270x = ±√270Since the worth of the square source of 270 is 16.432,⇒ x = +√270 or -√270 = 16.432 or -16.432.


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FAQs on the Square root of 270

What is the worth of the Square root of 270?

The square root of 270 is 16.43167.

Why is the Square root of 270 an Irrational Number?

Upon prime factorizing 270 i.e. 21 × 33 × 51, 2 is in strange power. Therefore, the square source of 270 is irrational.

What is the Square source of -270?

The square source of -270 is an imaginary number. It deserve to be created as √-270 = √-1 × √270 = ns √270 = 16.431iwhere i = √-1 and also it is called the imaginary unit.

What is the value of 5 square source 270?

The square root of 270 is 16.432. Therefore, 5 √270 = 5 × 16.432 = 82.158.

What is the Square source of 270 in easiest Radical Form?

We must express 270 as the product that its prime components i.e. 270 = 2 × 3 × 3 × 3 × 5. Therefore, √270 = √2 × 3 × 3 × 3 × 5 = 3 √30. Thus, the square source of 270 in the shortest radical type is 3 √30.

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Is the number 270 a Perfect Square?

The element factorization that 270 = 21 × 33 × 51. Here, the prime element 2 is not in the pair. Therefore, 270 is no a perfect square.