Assuming you want an example of one, √10 is an irrational number between 3 and 4.
If you want all of them, you're out of luck - there is an infinite number of them.
The square root of 3 is an irrational number
e
The set of irrational numbers is infinitely dense. As a result there are infinitely many irrational numbers between any two numbers. So, if any irrational number, x, laid claim to be the closest irrational number to 3, it is possible to find infinitely many irrational numbers between x and 3. Consequently, the claim cannot be valid.
there is probably not one
3 squared is 9 and 4 squared is 16, so the square root of any whole number between 9 and 16 will be irrational.
The square root of 3 is an irrational number
The square root of 3 is an irrational number
3.1459...
e
There are infinitely many irrational numbers between sqrt(2) and sqrt(3).
The set of irrational numbers is infinitely dense. As a result there are infinitely many irrational numbers between any two numbers. So, if any irrational number, x, laid claim to be the closest irrational number to 3, it is possible to find infinitely many irrational numbers between x and 3. Consequently, the claim cannot be valid.
there is probably not one
3 squared is 9 and 4 squared is 16, so the square root of any whole number between 9 and 16 will be irrational.
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
(root 2)/3
Any irrational number added to 0.5 will produce an irrational number.
pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.