The square root of 18 is the number when multiply with itself outcomes in 18. The square root of a number is both hopeful and an adverse of the numerical worth we achieve using different methods. In this mini-lesson, we will calculate the square source of 18 by element factorization and also long division method along with few interesting problems.

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Square root 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 uncover the Square root of 18?
4.Important notes on Square source of 18
5.Challenging Questions
6.FAQs ~ above 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 no a perfect square

Is Square source of 18 rational or Irrational?


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

How to find the Square source of 18?


The square that 18 can be evaluated utilizing the prime factorization method or long division method.

Square root of 18 by element Factorization Method

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

Square source of 18 By lengthy Division

With the help of the complying with steps, us can uncover the square root of 18 via the long department method.

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

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Important Notes:


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

Challenging Questions:


Find the worth of √√18?Jake at first planned to make a square-shaped pool of area 20 square feet but was just able to do a pool through an area that 18 square feet. By how plenty of feet the next of the pool is short than what was originally planned?

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

Solution:For calculating the square source of 18 via the approximation method an initial we require to discover two perfect squares in between which 18 lies.We recognize that 16 and 25 space the 2 perfect squares between which 18 lies. So, the square source of 18 will certainly be greater than 4 however less than 5. Therefore, the totality number component will be 4.Now for the decimal part, us will usage the formula:

Given number- lower perfect square / larger 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 calculation the square root of 7/18. Have the right 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)