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

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

What Is the Square source of 130?


The square source of 130 is written as √130 in the radical form.The square source of 130 is created as (130)1/2 in the exponential form.The square source of 130 in the decimal kind is 11.4017

Is theSquare source of 130 reasonable or Irrational?


The square source of 130 is no a organic number.Arational number is defined as a number that can be stood for in the form of p/q, wherein q ≠ 0.The square source of 130 cannot be composed in the form of p/q.Therefore, the square source of 130 is an irrational number.


How to find the Square root of 130?


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

Square source of 130 making use of Approximation Method

First, us will discover the two consecutive perfect squares between which 130 lies.In this case, the perfect squares are 121 (112) and 144 (122).So, the entirety number part of the square root of 130 is 11.Now, because that the decimal part we will use the listed below formula:(Given number – smaller sized perfect square) / (Greater perfect square – smaller perfect square)= (130 – 121)/(144 – 121) = 9/23 = 0.391Hence, the approx. Worth of the square source of 130 through the approximation technique is 11.391

Square source of 130 By long Division

Now we will calculate the square source of 130 through the long division method.

Start grouping the number from the unit’s place in pairs of 2 by place a bar above them. In the situation of 130, us will have actually two pairs:30 and also 1(pairing indigenous the right).Now, discover a number(t) whose square is ≤ 1. The value of t will certainly be 1 together 1 × 1 = 1≤ 1.Drag the following pair of digits. Thenew dividendis 030.Now discover 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, include 3 pairs of zero in the dividend after the decimal and repeat the over steps because that the remaining three bag of zero.

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

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Important Notes:


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