What Is The Square Root Of 18?

You are here to get the answer to the question of what is the Square Root Of 18, 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 18 square root will be a number which when multiplied by itself gives you the answer 18. Let us see about the Square Root Of 18.

What Is The Square Root Of 18?

The Square Root Of 18 in radical form is written as √18 and the answer to the square root of 18 is 4.24

Square Root Of 18 in decimal or fraction

√18 = 4.24

Square Root Of 18 In Exponential Form

√18 = (18) 1/2 = 4.24

Square Root Of 18 In Radical Form

√18 = 3√2

How To Find The Square Root Of 18?

To find the square root of 18 there are 2 methods.

Prime Factorization Method
Long Division Method

Let us find out the square root of 18 by both methods

Prime Factorization Method

To get the answer to the square root for 18 through the radical form method is very simple.

Now as 18 is a prime number so

18 = 2 x 9
18 = 2 x 3 x 3

So,

√18 = √2x2x3

√18= 2√3

Therefore, the answer for √18 = 2√3

Long Division Method

The Square Root Of 18 in long division method is done in these steps

To find the square root of 18 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 <=18. Here you need to write 4 as the divisor and quotient as when multiplied 4 by 4 you get 16 and the remainder will be 2.

Step 3:

Now double the quotient 4 and write it below divisor 4, the number will be 8 as a divisor here because 4+4=8.

Step 4:

Here you have a single digit number 2 as the remainder so put a decimal to the quotient that is after 4 and add 00 to the remainder now you have the remainder of 200.

Step 5:

Your quotient is 4. And your divisor is 8 and the remainder is 200

Here you need to take such a number in the 80s that is between 80 to 89 ( because 8 is your divisor) that when the last digit is multiplied by the divisor you get a number that is less than or equal to 200

Here the closest multiple for 200 is 82 x 2 = 164.

Step 6:

Your quotient is 4.2 and your divisor is 82 and the remainder is 36

Now double the last digit of the divisor 82 and write 84 as your new divisor (2+2 = 4).

Step 7:

You have only 2 digit remainder 36 and 2 digit divisor 84 so add two zeros to the remainder 36 which now will be 3600.

Step 8:

Your quotient is 4.2 And your divisor is 84 and the remainder is 3600

Here you need to take such a number between 840 to 849 ( because 84 is your divisor) that when the last digit is multiplied by the last digit of the divisor you get a number that is less than or equal to 3600

Here the closest multiple for 3600 is 884 x 4 = 3376

Your quotient is 4.24 And your divisor is 844 and the remainder is 224.

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

Is the Square Root Of 18 Rational or Irrational?

The Square Root Of 18 is an irrational number.

There is no such number that when multiplied by itself will give you the answer 18 so it is not a perfect square so this number is a rational number.

Also, the square root of 18 is 4.24 which has never ending decimals.

So √18 is an irrational number

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FAQ

What Is The Square Root Of 18 Simplified?

The square root of 18 simplified is √18 = 3√2 or 4.24

What Is 18 The Square Root Of?

The square root of 18 is 2.24

Let us see it by the prime factorization method

18 = 2 x 9

18 = 2 x 3 x 3

So,

√18 = √2x2x3

√18= 2√3

Therefore, the answer for √18 = 4.24

Is 18 A Perfect Cube?

No, 18 is not a perfect cube as it is an irrational number and there is no number that when multiplied thrice gives you 18.

What Is Root 2 Over Root 18?

The root 2 over root 18 is √2+√18 is 4√2.

Is Square Root Of 18 An Integer?

The square root of 18 is 4.2426… which is not an integer so 18 is not a perfect square.

Conclusion

So 4.24 is the Square Root Of 18 and you can calculate the root of √18 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 18.