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

You are watching: Simplify the square root of 500

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

What is The Square source of 18?

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

Is Square root of 18 rational or Irrational?

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

How to uncover the Square root of 18?

The square that 18 can be evaluated making use of the element factorization method or long department method.

Square root of 18 by prime Factorization Method

To discover the square source of 18 firstly us will uncover the prime 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 streamlined as √18 = 3√2

Square source of 18 By long Division

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

Write 18 as presented in the diagram. Start grouping the digits from the right finish by placing a bar on optimal of them.Now uncover a number which when multiplied with itself provides a number much less than equal to 18. We recognize that 4 × 4 = 16Find a number for the unit’s place of divisor such the will result in a number less than same to 200.Bring the next pair the zeros down and repeat the procedures till the critical pair of zeros.Therefore, we acquire the square source of √18 = 4.2426 by the long division method.

See more: What Does Mins And Maxs Mean In Inventory, Min/Max Inventory Method


Explore square roots utilizing illustrations and interactive examples

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 initially planned to make a square-shaped swimming pool of area 20 square feet however was just able to do a pool with an area that 18 square feet. By how numerous feet the next of the pool is quick than what was at first planned?

Example 1: uncover the square root of 18 making use of the approximation method?

Solution:For calculating the square root of 18 via the approximation method very first we need to discover two perfect squares between which 18 lies.We know that 16 and 25 room the two perfect squares in between which 18 lies. So, the square root of 18 will be greater than 4 however less 보다 5. Therefore, the totality number component will it is in 4.Now for the decimal part, we will usage 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 certainly be 4.22

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

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