# Square Root of 18 | Top Q&A

Square Root of 18 The square root of 18 is a number that when multiplied by itself gives 18. The square root of a number is both positive and negative of the numerical value that we obtain by different methods. In this mini-lesson, we’ll calculate the square root of 18 using prime factorization and long division along with some fun math problems.

**Square root of 18: 18 = 4.2426****Square 18: 18² = 324**

1. What is the square root of 18? 2. Is the square root of 18 Reasonable or Unreasonable? 3. How to Find the Square Root of 18? 4. Important Notes about Square Root of 18 5. Challenging Questions 6. Frequently Asked Questions about Square Root of 18

- The square root of a number is a number that when multiplied by itself gives the original number.
- The square root of 18 is written as 18 = 4.2426
- Square root of 18 in root form = 18 = (2 × 3 × 3) = 3√2
- Therefore, 18 is not a perfect square

- A rational number is defined as a number that can be represented as p/q where q 0
- The square root of 18 is a non-repeating and non-terminating number. Therefore, the square root of 18 cannot be expressed as a ratio of two integers.
- Therefore, the square root of 18 is an irrational number.

The square of 18 can be evaluated using the prime factorization method or the long division method.

### Square root of 18 using the prime factorization method

To find the square root of 18 we will first find the prime factors of 18 18 = 2 × 3 × 3 18 = 2 × 32 Now this can be simplified to √18 = (2 × 32 ) 18 = 2 × 32 18 = 3√2 Therefore, the square root of 18 can be simplified to √18 = 3√2

### Square root of 18 equals Long Division

With the help of the following steps, we can find the square root of 18 through the long division method.

- Write 18 as shown in the diagram. Start grouping the digits from the bottom right by placing a bar on top of them.
- Now find a number that when multiplied by itself gives a number less than 18. We know that 4 × 4 = 16
- Calculate the difference as you did in normal division and add the divisor to itself that was calculated in the previous section. The divisor will become 8 and the remainder will be 2.
- Now we don’t have any of the divisor left, so we put a decimal point after the divisor and quotient. Then place four pairs of zeros after the decimal part of the divisor and lower the pair of zeros.
- Find a number in which the units row is divided so that the result is a number less than 200.
- Bring down the next pair of zeros and repeat the steps until the last pair of zeros.
- Thus, we get the square root of √18 = 4.2426 using the long division method.

Explore square roots using interactive illustrations and examples

- Square root of 98
- Square root of 29
- Square root of 11
- Square root of 17
- Square root of 19

- There will be n/2 digits in the square root of an even number of n digits.
- There will be (n + 2) / 2 digits in the square root of an odd n digit number
- The square root of 18 is expressed as √18 in root form.
- The square root of 18 is expressed as (18) 1/2 in exponential form.

- Find the value of √√18?
- Jake originally planned to make a square pool of 20 square feet but could only make one with an area of 18 square feet. How many feet shorter is the edge of the pool than originally intended?

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