The square source of 130 is expressed as √130 in the radical kind and as (130)½ or (130)0.5 in the exponent form. The square source of 130 rounded as much as 5 decimal locations is 11.40175. That is the positive solution that the equation x2 = 130.

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Square root of 130: 11.40175425099138Square root of 130 in exponential form: (130)½ or (130)0.5Square root of 130 in radical form: √130
 1 What Is the Square source of 130? 2 Is Square source of 130 reasonable or Irrational? 3 How to find the Square source of 130? 4 FAQs ~ above Square source of 130 5 Important note on Square root of 130

## What Is the Square source of 130?

The square root of 130 is composed as √130 in the radical form.The square root of 130 is written as (130)1/2 in the exponential form.The square root of 130 in the decimal type is 11.4017

## Is theSquare root of 130 reasonable or Irrational?

The square root of 130 is no a natural number.Arational number is characterized as a number that deserve to be represented in the form of p/q, whereby q ≠ 0.The square root of 130 can not be created in the kind of p/q.Therefore, the square source of 130 is an irrational number.

## How to uncover the Square root of 130?

We will now calculate the square source of 130 making use of the below-given methods:

### Square root of 130 making use of Approximation Method

First, we will uncover the 2 consecutive perfect squares between which 130 lies.In this case, the perfect squares room 121 (112) and 144 (122).So, the totality number component of the square root of 130 is 11.Now, because that the decimal component we will use the below formula:(Given number – smaller perfect square) / (Greater perfect square – smaller perfect square)= (130 – 121)/(144 – 121) = 9/23 = 0.391Hence, the approx. Value of the square root of 130 by the approximation technique is 11.391

### Square root of 130 By lengthy Division

Now we will certainly calculate the square root of 130 by the long division method.

Start group the number from the unit’s location in pairs of two by place a bar above them. In the case of 130, we will have two pairs:30 and 1(pairing native the right).Now, uncover a number(t) who square is ≤ 1. The value of t will certainly be 1 together 1 × 1 = 1≤ 1.Drag the following pair the digits. Thenew dividendis 030.Now uncover a number (N) such that 2N × N ≤ 30. The worth of N is1.Now, place a decimal in the dividend (130)and quotient (11). Also, add 3 bag of zero in the dividend after ~ the decimal and also repeat the above steps because that the continuing to be three pairs of zero.

Thus, we acquire the value of the square source of √130 = 11.401 by the long department method.

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Important Notes:

The square source of 130 is one irrational number.The number 130 is not a perfect square.The square source of -130 is an imagine number.