What Is The Square Root Of 19?

You are here to get the answer to the question of what is the Square Root Of 19, let us see how it is calculated. The Square of a number is a number that when multiplied by itself is equal to the first number. The number 19 square root will be a number which when multiplied by itself gives you the answer 19. Let us see about the Square Root Of 19.

What Is The Square Root Of 19?

The Square Root Of 19 in radical form is written as √19 and the answer to the square root of

√19 is 4.35889894354.

Square Root Of √19 in decimal or fraction

√19 = 4.358

Square Root Of 19 In Exponential Form

√19 = 19½

Square Root Of 19 In Radical Form

√19 = √19

How To Find The Square Root Of 19?

To find the square root of 19 there are 2 methods.

Radical Form
Long Division Method

Let us find out the square root of 19 by both methods

Radical Form

To get the answer of the square for square root for 19 through the radical form method is very simple.

Now as 19 is a prime number so

19 = 1 x 19
So, √19 is the lowest and cannot be more simplified

Therefore, the answer for √19 = √19

Long Division Method

The Square Root Of 19 in long division method is done in 7 steps

To find the square root of 19 using the long division method, follow these steps:

Step 1:

Write the numbers on the right side we will but a bar above it

Step 2:

Write such number on the left side that when we multiplied by itself you get a number that is either <=19. Here you need to write 4 as the divisor as when multiplied 4 by 4 you get 16 and the remainder will be 3.

Step 3:

Now double the quotient 4 and write it below 4, the number will be 8 here.

Step 4:

Here you have a single digit number as the remainder so put a decimal in the dividend 19 and add two zeros (19.00) and write a decimal in quotient after 4. now add 00 to the remainder and you have the remainder of 300.

Step 5:

Your quotient is 8 so you need to take such number in the 80s that when multiplied by itself will be less than or equal to 300. Here the number will be 83 because 83×83 = 249 and 3 beside 4.

Step 6:

Here you have to write below 83 which is below quotient 86, 8 you need to copy and 6 is double of 3.

Step 7:

You need to repeat step number 4,5 and 6 until you do not get the desired decimal digits

Is the Square Root Of 19 Rational or Irrational?

The Square Root Of 19 is an irrational number.

There is no such number that when multiplied by itself will give you the answer 19 so it is not a perfect square so this number is a rational number.

Also, the square root of 19 is 3.605 which has never ending decimals.

So √19 is a irrational number

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FAQ

What Is A Square Root Of 19?

The Square Root Of 19 in radical form is written as 19 and the answer to the square root of 19 is 4.35889894354.

What Is The Square Root Of 19 Simplified?

The square root of 19 simplified is 4.35889894354.

Is The Square Root Of 19 A Rational Number?

The Square Root Of 19 is an irrational number and not a rational number

Conclusion

So 4.358 is the Square Root Of 19 and you can calculate the root of 19 by 2 methods that are radical form & Long Division Method. After understanding the methods mentioned above you can easily find the Square Root Of 19.