It's never been proven to be irrational, but I'm running it through an iterative precision program and so far I've got: 9.486832980505137995996680633298155601158665417975650480572514
It looks irrational up to its 60th decimal at least. Unfortunately, 60 is way less than infinity, so this really demonstrates nothing.
Chat with our AI personalities
No.
No, the square root of 1000 is not rational.
The square root of 4 is 2. 2 is a rational number so they square root of 4 is rational.
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.