What Is The Square Root Of 14?

You are looking for the answer to the square root of 14, let us understand it in detail. The Square of a number is a number that when multiplied by itself is equal to the first number. The number 14 square root will be a number which when multiplied by itself gives you the answer 14. Let us see about the square root of 14.

What Is The Square Root Of 14?

The square root of 14 in radical form is written as 14 and the answer to the square root of 14 is 3.74165738677. Do you know that 3.74165738677 is never-ending and even there is no specific pattern in the numbers after decimal

Square Root Of 14 Simplified

14 = 3.74165738677

Square Root Of 14 In Exponential Form

14 = (14)½ or (14)0.5

Square Root Of 14 In Radical Form

14 = √14

Square Root Of 8 Cubed

14 = 314

How To Find The Square Root Of 14?

To find the squareroot of 14 there are 2 methods.

Simplifying The Radical Method
Long Division Method

Let us find out the squareroot of 14 by both methods

Simplifying The Radical Method

First we need to see the Prime factorization of 14

14 = 3.742 x 3.742

Then it can be simplified as

14 = ( 3.742 x 3.742)

14 = √(3.742)2

So 14 = 2 x 3.742

14 = 3.742

So the value of squareroot of 14 is 3.742

Long Division Method

The square root of 14 in long division method is done in 7 steps

Step 1

Pairing numbers from right side just below the bar.

Step 2

Take such number which squares but is also less than or equal to the number 14.

For number 14 the number 3 squares to 9 where 9 is less than 14..

Step 3

Now write 3 as quotient and 9 as divisor here you get 5 as remainder. (14-9=5) and bring the pair of 00 with 5

Step 4

Now double the number that is the quotient and note it on the left side. The divisor is 3 so write 6.

Step 5

Now understand this carefully

Put a decimal after 3 and then

You have to take such the largest number that when the number is multiplied by both the digits of the divisor the answer should be less than or equal to the divisor.

Here the number will get 7 and right it next to 6.

So now 67 x 6 is 469 and the remainder will be 31 and take 2 pairs of 0 with it so it will be 3100.

Step 6

You have to double the quotient 37 which will be 744 and write it below 67.

Step 7

You have to take such the largest number that when the number is multiplied by both the digits of the divisor the answer should be less than or equal to the divisor.

Here the number will be 4 as 744 x 4 = 2976

Write number 4 besides 74

The remainder will be 124

You have to write the remainder and repeat it to the desired decimal places.

Is the Square Root of 14 Rational or Irrational?

The Square Root of 14 is an irrational number.

A rational number is a number that can be written in p/q form also. In p/q form p and q are integers and q should not be equal to zero.

An irrational number is a number that is not a rational number.

The square root of 14 is 3.74165738677 which is a nonterminating decimal with nonrepeating digits and 3.74165738677 cannot be written in p/q form.

FAQ

What Is Square Root 14 Simplified?

First, we need to see the Prime factorization of 14

14 = 3.742 x 3.742

Then it can be simplified as

14 = ( 3.742 x 3.742)

14 = √(3.742)2

So 14 = 2 x 3.742

14 = 3.742

So the value of squareroot of 14 is 3.742

What Has A Square Root Of 14?

The squareroot of 14 in radical form is represented as √14 which is also equal to it is equal to 3.742 approximately.

What Is The Square Of 14?

The square of 14 is 28 and the squareroot of 14 is 3.742 or 14 = 14

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Conclusion

So 3.742 is the square root of 14 and you can calculate the root of 14 by 2 methods. After understanding the methods it’s very easy to find the square root of 14 easily.