What Is The Square Root Of 26?

You are here to get the answer to the question of what is the Square Root Of 26, 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 26 square root will be a number which when multiplied by itself gives you the answer 26. Let us see about the Square Root Of 26.

What Is The Square Root Of 26?

The Square Root Of 26 in radical form is written as √26 and the answer to the square root of 26 is 5.099.

Square Root Of 26 in decimal or fraction

√26 = 5.099

Square Root Of 26 In Exponential Form

√26 = 26½

Square Root Of 26 In Radical Form

√26 = √26

How To Find The Square Root Of 26?

To find the square root of 26 there are 2 methods.

Prime Factorisation Form
Long Division Method

Let us find out the squareroot of 26 by both methods

Prime Factorisation Form

To get the answer of the square for square root for 26 through the radical form method is very simple.

Now as 26 is a prime number so

26 = 2 x 13
So, 26 = √2 x √13 = 5.099

Therefore, the answer for √26 = 5.099

Long Division Method

The Square Root Of 26 in long division method is done in 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 multiply by itself you get a number that is either <=26. Here you need to write 5 as the divisor as when multiplied 5 by 5 you get 25 and the remainder will be 1.

Step 3:

Now double the quotient 5 and write it below 5, the number will be 10 here.

Step 4:

Here you have a single digit number as the remainder so put a decimal in the dividend 26 and add two zeros (26.00) and write a decimal in quotient after 5 (5.) as well. Now add 00 to the remainder and you have the remainder of 100. You also need to add a 0 to the divisor it will be 100.

Step 5:

Here your divisor is 100 so you need to add a 0 beside the quotient (5.0), then add 00 beside the dividend 26.00 (26.0000) and take two zeros to the remainder 100 which now will become 10000 and add 0 to the divisor as shown in fig. below.

Step 6:

Now repeat the steps till you get your desired decimals

Is the Square Root Of 26 Rational or Irrational?

The Square Root Of 26 is an irrational number.

There is no such number that when multiplied by itself will give you the answer 26 so it is not a perfect square so this number is a rational number.

Also, the square root of 26 is 5.099 which has never ending decimals.

So √26 is a irrational number

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FAQ

What Is The Square Root Of 26 As A Radical?

The square root of 26 can be represented as a radical in the following way: √26

This radical cannot be simplified further, as 26 does not have any perfect square factors. Therefore, √26 is an irrational number and cannot be expressed as a terminating or repeating decimal. It is approximately equal to 5.099

Is 26 A Perfect Square Root?

No, 26 is not a perfect square root because it does not have an integer as its square root. The closest perfect square roots to 26 are 25 (which has a square root of 5) and 36 (which has a square root of 6).

What Is The Square Root Of 25 Negative?

The square root of a negative number is not a real number, as the square of any real number is always positive or zero. Therefore, the square root of -25 does not exist among real numbers.

Conclusion

So 5.099 is the Square Root Of 26 and you can calculate the root of 26 by 2 methods which are the Prime factorization & Long Division Method. After understanding the methods mentioned above you can easily find the Square Root Of 26.