The square root of 18 is the number when multiplied with itself outcomes 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 calculate the square source of 18 by prime factorization and also long division method along 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 root of 18? 2 Is Square source of 18 reasonable 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 root of 18?

The square root of 18 is composed 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 source of 18 can not be represented as a proportion of two integers.

## How to discover the Square root of 18?

The square the 18 have the right to be evaluated utilizing the prime factorization method or long department method.

### Square root of 18 by prime Factorization Method

To uncover the square root of 18 firstly we will uncover the element factorization the 1818 = 2 × 3 × 318 = 2 × 32Now this deserve 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 source of 18 By long Division

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

Write 18 as presented in the diagram. Start grouping the digits from the right finish by putting a bar on optimal of them.Now uncover a number which when multiplied with itself offers a number much less than equal to 18. We know that 4 × 4 = 16Find a number because that the unit’s ar of divisor such that will an outcome in a number much less than equal to 200.Bring the next pair that zeros down and also repeat the measures till the critical pair of zeros.Therefore, we get the square source of √18 = 4.2426 by the long department method.

See more: Why Is It Important To Set A Strict Password Policy As Part Of Your Security Template? Explore square roots making use of 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 originally planned to make a square-shaped swimming pool of area 20 square feet but was only able to do a pool through an area the 18 square feet. Through how many feet the next of the pool is quick than what was originally planned?

Example 1: discover the square root of 18 using the approximation method?

Solution:For calculating the square source of 18 via the approximation method very first we need to find two perfect squares between which 18 lies.We recognize that 16 and 25 space the 2 perfect squares in between which 18 lies. So, the square source of 18 will be greater than 4 yet less 보다 5. Therefore, the entirety number component will be 4.Now because that the decimal part, we will use the formula:

Given number- lower perfect square / bigger 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 root of 7/18. Deserve to you assist Kevin?

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