What Is The Square Root Of 81?

You are here to get the answer to the question of what is the Square Root Of 81, 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 81 square root will be a number which when multiplied by itself gives you the answer 81. Let us see about the Square Root Of 81.

What Is The Square Root Of 81?

The Square Root Of 81 in radical form is written as √81 and the answer to the square root of 81 is 9.

Square Root Of 81

√81 = 9

Square Root Of 81 In Exponential Form

√81 = (81)½

Square Root Of 81 In Radical Form

√81 = √81

How To Find The Square Root Of 81?

To find the square root of 81 there are 2 methods.

Prime Factorization
Long Division Method

Let us find out the square root of 81 by both methods

Prime Factorization

To get the answer to the square root for 81 through the radical form method is very simple.

Now as 81 is a prime number so

81 = 3 x 27
81 = 3 x 3 x 9
81 = 3 x 3 x 3 x 3

So,

√81 = √3x3x3x3

√81 = √(3×3)²

√81 = √(9)²

√81 = 9

Therefore, the answer for √81 = 9

Long Division Method

The Square Root Of 81 in long division method is done in these steps

To find the square root of 81 using the long division method, follow these steps:

Step 1:

Write the numbers on the right side we will put 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 <=81. Here you need to write 9 as the divisor and 9 as the quotient when multiplied 9 by 9 you get 81 and the remainder will be 0.

Your quotient is 9 And your divisor is 9 and the remainder is 0 as you have got your remainder as 0 it cannot be further divided.

So the square root of 81 is 9

Is the Square Root Of 81 Rational or Irrational?

The Square Root Of 81 is a rational number.

As there is the number 9 that when multiplied by itself will give you the answer 81 so it is a perfect square so this number is a rational number.

Also, the square root of 81 is 9 which gives you a remainder of 0.

So √81 is a rational number

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FAQ

What Is The Square Root For 81?

The square root for 81 is 9 as 81 = 9 x 9 = 3or √81 = 9 x 9 = √(9)²

Hence √81 = 9

What Are The Two Square Roots Of 81?

The square root of 81 is 9. Let us see the √81 with prime factorization.

81 = 3 x 27 = 3 x 3 x 9 = 3 x 3 x 3 x 3

So,

√81 = √3x3x3x3

√81 = √(3×3)²

√81 = √(9)²

√81 = 9

How Is 81 A Square Number?

81 is a square number because when you multiply a whole number or an integer by it self you get the answer 81. As you can see that 9 x 9 = 81.

How To Find The Square Root?

You can find the Square root of a number by taking such a number when multiplied by itself gives you the original number.

For example square root of 81 = 9 x 9

Where 81 is a perfect square and the number 9 multiplied by itself gives you the number 81.

Conclusion

So 9 is the Square Root Of 81 and you can calculate the root of 81 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 81.