The square source of 260 is expressed as √260 in the radical kind and as (260)½ or (260)0.5 in the exponent form. The square source of 260 rounded up to 8 decimal areas is 16.12451550. That is the positive solution the the equation x2 = 260. We can express the square source of 260 in its lowest radical type as 2 √65.

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Square source of 260: 16.1245154965971Square source of 260 in exponential form: (260)½ or (260)0.5Square source of 260 in radical form: √260 or 2 √65
1.What Is the Square root of 260?
2.Is Square root of 260 rational or Irrational?
3.How to discover the Square source of 260?
4.Important note on Square root of 260
5.FAQs on Square root of 260

The square source of 260 in decimal type is = 16.1245The square root of 260 can be composed as √260 and (260)1/2

Is Square root of 260 reasonable or Irrational?

The square source of 260 is a non-terminating and non-repeating numberTherefore, the square source of 260 is an irrational number due to the fact that it cannot be express in the kind of p/q wherein q ≠ 0.


Now we will certainly calculate the square root of 260 making use of the following methods

Square root of 260 using Prime administer Method

The prime components of 260 in pairs: (2 × 2) × 5 × 13Now, the square root of 260: √260 = √((2 × 2) × 5 × 13)So, the square root of 260 = 2 × √(5 × 13) = 2√65

Square root of 260 By lengthy Division

Start group the digits from the unit’s location in bag of two by drawing a line on height of them. We obtain two pairs in this instance (2 & 60).Find a number(n) which as soon as multiplied through itself n × n ≤ 2. So, n will be 1 as 1 × 1 = 1.Bring down the pair the 60. So, our brand-new dividend is 160. Now uncover a number(m) such that 2m × m ≤ 160. The number m will be 6 together 26 × 6 = 156 ≤ 160. Therefore, the remainder is 4.Add a decimal in the dividend and quotient component simultaneously. Also, add 3 pairs of zero in the dividend part (260. 00 00 00) and repeat the over step for every the bag of zero.

So, we get the square source of √260 = 16.124 through the long department method.

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Explore square roots using illustrations and also interactive examples


The number 260 is no a perfect square.The square root of 260 is one irrational number.The square source of -260 is an imaginary number.

Example 1:Mario desires to uncover out the square source of -260. Can you aid Mario?

Solution:The square root of an unfavorable numbers is imagine numbers.Because the square of any kind of number (positive or negative) will result in a optimistic number.So, the square the -260 is composed as √-260 = ±16.1245i. (where ns = √-1)


Example 2:Find the square root of 260 utilizing the recurring subtraction method?

Solution:

First, discover two continually perfect squares in between which the number 260 will certainly lie. The two perfect squares are 256 (162) and also 289 (172).Therefore, the entirety number component of the square root of 260 will be 16Now, for the decimal part, us will usage the below-mentioned formula(Given number - smaller perfect square) / (Greater perfect square - smaller sized perfect square)= (260 - 256)/(289 - 256) = 4/33 = 0.12

Hence, the square source of 260 via the approximation an approach is 16.12


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FAQs top top the Square root of 260

What is the worth of the Square source of 260?

The square source of 260 is 16.12451.

Why is the Square root of 260 one Irrational Number?

Upon prime factorizing 260 i.e. 22 × 51 × 131, 5 is in odd power. Therefore, the square source of 260 is irrational.

What is the Square of the Square source of 260?

The square of the square source of 260 is the number 260 itself i.e. (√260)2 = (260)2/2 = 260.

What is the Square root of 260 in simplest Radical Form?

We should express 260 as the product the its prime components i.e. 260 = 2 × 2 × 5 × 13. Therefore, √260 = √2 × 2 × 5 × 13 = 2 √65. Thus, the square source of 260 in the lowest radical type is 2 √65.

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Evaluate 18 plus 16 square root 260

The offered expression is 18 + 16 √260. We recognize that the square root of 260 is 16.125. Therefore, 18 + 16 √260 = 18 + 16 × 16.125 = 18 + 257.992 = 275.992

What is the value of 4 square source 260?

The square root of 260 is 16.125. Therefore, 4 √260 = 4 × 16.125 = 64.498.