The square root of 38 is expressed as √38 in the radical kind and together (38)½ or (38)0.5 in the exponent form. The square source of 38 rounded approximately 5 decimal places is 6.16441. It is the optimistic solution the the equation x2 = 38.

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Square source of 38: 6.164414002968976Square source of 38 in exponential form: (38)½ or (38)0.5Square source of 38 in radical form: √38
1.What Is the Square root of 38?
2.Is Square source of 38 reasonable or Irrational?
3.How to find the Square root of 38?
4.Important Notes
5.FAQs top top Square source of 38
6.Challenging Questions

What Is the Square source of 38?

The square root of a number n is created as √n. This number once squared or multiplied by itself results in the initial number n. The square source of 38 have the right to be written in many ways:

Radical form: √38Decimal form: 6.164Exponent form: (38)1/2

Is Square root of 38 rational or Irrational?

How to find the Square source of 38?

There are multiple ways to uncover the square root of 38:

Long department MethodEstimation and Approximation

One can discover out an ext about these techniques by click here.

Long division Method

The square root of 38 through long department method consists of the following steps:

Step 1: Starting from the right, we will pair increase the digits of 38 by putting a bar above them. We likewise pair the 0s in decimal from left to right.Step 3: Drag a pair of 0s down and also fill it beside 2 to do the dividend 200.Step 5: Repeat this procedure to get the decimal areas you want.


Therefore, the square source of 38 = 6.164

Estimation and Approximation

The estimation an approach gives united state an approximate answer and is commonly not exact to an ext than 1 decimal place. However, it is simple to execute as have the right to be seen under.

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First, we will find the 2 consecutive number such the 38 lies between their perfect squares.In this case, the numbers space 6 (36) and also 7 (49).We take the whole number component to be the smaller perfect square, in this situation 6.Now, for the decimal component we will usage the below formula:(Given number -Smaller perfect square) / (Greater perfect square -smaller perfect square)= (38 -36)/(49 -36) = 2/13 = 0.15Therefore, we deserve to estimate the square root of 38 ≅ 6.15

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Important Notes

The square root of 38 is an irrational number.The number 38 is not a perfect square.

Challenging Questions

What is the square source of 38up to 5decimal places? (Use lengthy division)Find the square source of the complying with numbers:38380.38