The square source of 18 is the number when multiply with itself outcomes in 18. The square root of a number is both positive and negative of the numerical value we attain using different methods. In this mini-lesson, we will certainly calculate the square root of 18 by element factorization and long department method follow me with few interesting problems.

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Square root of 18: √18 = 4.2426Square that 18: 18² = 324
1.What Is the Square root of 18?
2.Is Square source of 18 reasonable or Irrational?
3.How to uncover the Square source of 18?
4.Important notes on Square root of 18
5.Challenging Questions
6.FAQs ~ above Square source of 18

What is The Square root of 18?


The square source of 18 is created as √18 = 4.2426Square root of 18 in radical type = √18 = √(2 × 3 × 3) = 3√2Hence, 18 is no a perfect square

Is Square source of 18 reasonable or Irrational?


The square source of 18 is a non-repeating and non-terminating number. Hence, the square source of 18 cannot be stood for as a ratio of two integers.

How to uncover the Square root of 18?


The square of 18 have the right to be evaluated using the element factorization an approach or long department method.

Square root of 18 by prime Factorization Method

To discover the square root of 18 firstly we will find the prime factorization the 1818 = 2 × 3 × 318 = 2 × 32Now this deserve to be simplified right into √18 = √(2 × 32)√18 = √2 × √32√18 = 3√2Therefore, the square root of 18 deserve to be simplified as √18 = 3√2

Square root of 18 By lengthy Division

With the help of the following steps, we can uncover the square source of 18 via the long department method.

Write 18 as shown in the diagram. Begin grouping the digits from the right end by placing a bar on height of them.Now discover a number which once multiplied with itself offers a number much less than same to 18. We understand that 4 × 4 = 16Find a number for the unit’s location of divisor such that will an outcome in a number less than equal to 200.Bring the next pair of zeros down and repeat the procedures till the critical pair the zeros.Therefore, we get the square source of √18 = 4.2426 through the long division method.

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Important Notes:


The square root of 18 is stood for as √18 in radical form.The square source of 18 is represented as (18)1/2 in exponential form.

Challenging Questions:


Find the value of √√18?Jake initially planned to make a square-shaped pool of area 20 square feet however was only able to do a pool v an area that 18 square feet. By how many feet the next of the swimming pool is quick than what was at first planned?

Example 1: uncover the square source of 18 utilizing the approximation method?

Solution:For calculating the square root of 18 via the approximation method first we need to uncover two perfect squares between which 18 lies.We recognize that 16 and 25 space the two perfect squares in between which 18 lies. So, the square source of 18 will certainly be better than 4 yet less than 5. Therefore, the totality number part will it is in 4.Now for the decimal part, we will usage the formula:

Given number- reduced perfect square / bigger perfect square-Lower perfect square= (18-16)/(25-16)= 2/9= 0.22So, the approx. The square source of 18 will be 4.22


Example 2: Kevin wants to calculate the square source of 7/18. Deserve to you assist Kevin?

Solution:Square root of 7 = √7Square root of 18 = 3√2Hence, Square source of 7/18 = √7/(3√2) = 3√(7/2)