What number closest to 3 that is irrational?

Answer 1

The number closest to 3 that is irrational is the square root of 8, which is approximately 2.83. The square root of 8 is irrational because it cannot be expressed as a simple fraction or terminate as a decimal. It is also the closest irrational number to 3 on the number line.

Answer 2

Oh, dude, Irrational Numbers are like those mysterious rebels of the number world, you know? They're all unpredictable and non-repeating, just causing chaos in the orderly realm of math. The number closest to 3 that's irrational would be the square root of 10, which is around 3.16227766017. But hey, who's counting, right?

Answer 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.