The square source of 18 is the number when multiplied with itself results in 18. The square source of a number is both optimistic and an adverse of the numerical worth we acquire using various methods. In this mini-lesson, we will certainly calculate the square source of 18 by element factorization and also long division method along with few interesting problems.

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

What is The Square root of 18?


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

Is Square source of 18 rational or Irrational?


The square root of 18 is a non-repeating and also non-terminating number. Hence, the square source of 18 can not be represented as a proportion of two integers.

How to uncover the Square root of 18?


The square the 18 can be evaluated making use of the prime factorization technique or long division method.

Square root of 18 by prime Factorization Method

To find the square root of 18 firstly us will find the element factorization that 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 root of 18 deserve to be simplified as √18 = 3√2

Square root of 18 By long Division

With the aid of the adhering to steps, us can uncover the square root of 18 via the long division method.

Write 18 as displayed in the diagram. Begin grouping the digits from the right finish by placing a bar on peak of them.Now discover a number which once multiplied v itself provides a number less than equal to 18. We know that 4 × 4 = 16Find a number because that the unit’s place of divisor such that will an outcome in a number less than same to 200.Bring the following pair the zeros down and repeat the measures till the last pair of zeros.Therefore, we acquire the square root of √18 = 4.2426 by the long division method.

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Explore square roots utilizing illustrations and also interactive examples


Important Notes:


The square source of 18 is stood for as √18 in radical form.The square source of 18 is stood for 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 but was only able to make a pool v an area that 18 square feet. Through how numerous 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 very first we require to find two perfect squares in between which 18 lies.We understand that 16 and 25 space the 2 perfect squares in between which 18 lies. So, the square source of 18 will be higher than 4 however less 보다 5. Therefore, the entirety number part will it is in 4.Now because that the decimal part, we will use 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 root of 18 will be 4.22


Example 2: Kevin desires to calculation the square source of 7/18. Have the right to you assist Kevin?

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