What Is The Square Root Of 28?

You are here to get the answer to the question of what is the Square Root Of 28, 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 28 square root will be a number which when multiplied by itself gives you the answer 28. Let us see about the Square Root Of 28.

What Is The Square Root Of 28?

The Square Root Of 28 in radical form is written as √28 and the answer to the square root of 28 is 5.292.

Square Root Of 28 in decimal or fraction

√28 = 5.292

Square Root Of 28 In Exponential Form

√28 = (28)½

Square Root Of 28 In Radical Form

√28 = 2√7

How To Find The Square Root Of 28?

To find the square root of 28 there are 2 methods.

Radical Form
Long Division Method

Let us find out the square root of 28 by both methods

Radical Form

To get the answer to the square root for 28 through the radical form method is very simple.

Now as 28 is a prime number so

28 = 2 x 2 7

So,

√28 = √2x2x7

√28 = 2 x √7

√28= 2√7

Therefore, the answer for √28 = 2√7

Long Division Method

The Square Root Of 28 in long division method is done in these steps

To find the square root of 28 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 <=28. Here you need to write 5 as the divisor as when multiplied 5 by 5 you get 25 and the remainder will be 3.

Step 3:

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

Step 4:

Here you have a single digit number 3 as the remainder so put a decimal to the quotient after 5 and add 00 to the remainder now you have the remainder of 300.

Step 5:

Your quotient is 5. And your divisor is 10 and the remainder is 300

Here you need to take such a number in the 100s ( because 10 is your divisor) that when the last digit is multiplied by the divisor you get a number that is less than or equal to 300

Here the closest multiple for 300 is 102 x 2 = 204.

Step 6:

Your quotient is 5.2 and your divisor is 102 and the remainder is 96

Now double the last digit of the divisor 102 and write 104 as your new divisor.

Step 7:

You have only 2 digit remainder and 3 digit divisor so add two zeros to the remainder 96 which now will be 9600.

Step 8:

Your quotient is 5.2 And your divisor is 104 and the remainder is 9600

Here you need to take such a number in the 1040s ( because 104 is your divisor) that when the last digit is multiplied by the divisor you get a number that is less than or equal to 9600

Here the closest multiple for 9600 is 1049 x 9 = 9441

Your quotient is 5.29 And your divisor is 1049 and the remainder is 159.

*Repeat steps 4, and 5 till you get your desired decimal

Is the Square Root Of 28 Rational or Irrational?

The Square Root Of 28 is an irrational number.

There is no such number that when multiplied by itself will give you the answer 28 so it is not a perfect square so this number is a rational number.

Also, the square root of 28 is 5.292 which has never ending decimals.

So √28 is a irrational number

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FAQ

What Is A Square Root Of 28?

The Square Root Of 28 in radical form is written as 28 and the answer to the square root of √28 is 5.292.

What Is The Square Root Of 28 Simplified?

The square root Of √28 simplified is 5.292.

Is The Square Root Of 28 A Rational Number?

The Square Root Of 28 is an irrational number and not a rational number

What Does The Square Root Of 28 Fall?

So the two consecutive integers that the square root of 28 would fall between would be 5 and 6.

Conclusion

So 5.292 is the Square Root Of 28 and you can calculate the root of √28 by 2 methods which are the radical form & Long Division Method. After understanding the methods mentioned above you can easily find the Square Root Of 28.