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

## How to find the Square source of 38?

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

Long department MethodEstimation and Approximation

### 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