# what is the square root of 14

The square root of 14 The square root of 14 is expressed as √14 in root form and (14) ½ or (14) 0.5 in exponentiation. The square root of 14 rounded to 5 decimal places is 3.74166. It is a positive solution of the equation x2 = 14.

**Square root of 14:**3.7416573867739413**Square root of 14 in exponential form:**(14) or (14) 0.5**Square root of 14 in root form:**14

1. What is the square root of 14? 2. Is the square root of 14 Reasonable or Unreasonable? 3. How to find the square root of 14? 4. Think Out of the Box! 5. Important Notes on Square Root of 14 6. Frequently Asked Questions about Square Root of 14A a number that cannot be expressed as the ratio of two integers that are irrational. The decimal form of an irrational number is non-terminating (i.e. it never ends) and non-repeating (i.e., the decimal part of the number never repeats a pattern). Now let’s look at the square root of 14. Read: what is the square root of 14√14 = 3.74165738677. Read more: What happened to the deez grain guy Do you think the decimal part stops after 3.74165738677? No, it’s never ending and you can’t notice a pattern in the decimal part. Therefore, √14 is an irrational number.

### Square Root of 14 by Long Division

The value of the square root of 14 by the long division method involves the following steps:

**Step 1:**Starting from the right, we’ll pair the digits by placing a bar above them.**Step 2:**Find a number such that when multiplied by itself, the product is less than or equal to 14. So the number is 3. Taking the divisor by 3, we get a quotient of 3 and a remainder of 5.**Step 3:**Double the quotient and enter it with a blank cell to the right. Guessing the largest possible digit to fill in the blank will also become the new digit in the quotient, such that when the new divisor is multiplied by the new quotient, the product is less than or equal to the divisor. Divide and write the remainder.- Repeat this process to get the decimal places you want.

The image shows the step-by-step long division method to find the square root of 14 Read more: What to use Jambalaya withCan you try and represent the square root of 15 in a similar way? The answer of √15 should be 3.872.

### Simplified radical form

To simplify the square root of 14, let’s first express 14 as a product of its prime factors. The prime factor of 14 = 2 × 7. Thus, √14 is in the lowest form and cannot be further simplified. Thus, we have represented the square root of 14 in root form.**Explore Square Roots using interactive illustrations and examples**Read more: Empress Chicken | Top Q&A

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- Can you think of a quadratic equation whose root is √14?
- Since (- (√14) 2 = 14, can we say that -√14 is also a square root of 14?

- The square root of 14 is expressed as √14 in root form.
- In exponentiation, the square root of 14 is expressed as 14½.
- The real roots of √14 are ±3.74165.

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