The square root of 18 is the number when multiplied with itself results in 18. The square source of a number is both positive and negative of the numerical value we acquire using different methods. In this mini-lesson, we will certainly calculate the square source of 18 by prime factorization and also long division method follow me with couple of interesting problems.

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

What is The Square source of 18?


The square source of 18 is created as √18 = 4.2426Square source of 18 in radical kind = √18 = √(2 × 3 × 3) = 3√2Hence, 18 is not a perfect square

Is Square root of 18 rational or Irrational?


The square source of 18 is a non-repeating and non-terminating number. Hence, the square root of 18 can not be stood for as a ratio of 2 integers.

How to find the Square source of 18?


The square of 18 deserve to be evaluated making use of the prime factorization method or long department method.

Square source of 18 by prime Factorization Method

To uncover the square source of 18 firstly we will uncover the element factorization that 1818 = 2 × 3 × 318 = 2 × 32Now this have the right to be simplified into √18 = √(2 × 32)√18 = √2 × √32√18 = 3√2Therefore, the square root of 18 can be simplified as √18 = 3√2

Square root of 18 By lengthy Division

With the aid of the adhering to steps, we can find the square source of 18 via the long division method.

Write 18 as shown in the diagram. Start grouping the digits from the right end by putting a bar on peak of them.Now uncover a number which once multiplied with itself offers a number less than equal to 18. We know that 4 × 4 = 16Find a number for the unit’s location of divisor such the will result in a number much less than equal to 200.Bring the following pair of zeros down and also repeat the steps till the critical pair that zeros.Therefore, we acquire the square source of √18 = 4.2426 by the long department 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 do a square-shaped pool of area 20 square feet however was just able to do a pool through an area of 18 square feet. Through how many feet the side of the swimming pool is short than what was initially planned?

Example 1: find the square source of 18 using the approximation method?

Solution:For calculating the square root of 18 via the approximation method an initial we need to discover two perfect squares in between which 18 lies.We know that 16 and 25 are the 2 perfect squares in between which 18 lies. So, the square root of 18 will certainly be greater than 4 yet less than 5. Therefore, the totality number part will be 4.Now for the decimal part, we will use the formula:

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


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

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