answersLogoWhite

0


Best Answer

It can be proven that it is impossible to find a pair of integers, p and q, such that p/q = sqrt(14).

User Avatar

Wiki User

10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is the square root 14 an irrational number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is the square root of 14 a natural number?

Natural numbers are those numbers used for counting. The square root of 14 is the irrational number 3.74165... . Therefore, the square root of 14 is not a natural number.


What is the square root of 1176?

It is an irrational number and works out as 14 times the square root of 6 or about 34.2928564


Is the square root of 196 irrational?

No because 14 is a rational number


What is an irrational number between 0.11 and 0.12?

The square root of .014 is about .118322. Note that .014 is 14/1000 which is 7/500 this is the (square root of 35)/50 which is an irrational number.


What's the square root of 14?

It's an irrational number, approximately 3.74.


Is the square root of 14 rational or irrational?

The square root of 14 is irrational. Three squared is 9, and four squared is 16; so square root of 14 is in-between 3 and 4.


Is the negative square root of 14 rational or irrational?

irrational


Is the square root of 14 irrational?

Yes


Is the square root of 14 rational or irrational number?

Search for the proof for the irrationality of the square root of 2. The same reasoning applies to any positive integer that is not a perfect square. In summary, the square root of any positive integer is either a whole number, or - as in this case - it is irrational.


Is square root of 196 irrational?

√196 is rational. √196 = √(14^2) = 14 - a whole number which is also a rational number.


Is the square root of fraction 196225 irrational or rational?

If you mean the square root of 196/225 then it is 14/15 which is a rational number because it can be expressed as a fraction.


Is the square root of 196 rational or irrational?

196 = 14² → √196 is rational.