1. 5 is an irrational algebraic number. 3 is an irrational algebraic number. In other words, the square root of 2 is irrational. So Square root of 1 is the rational.
2. You are indeed correct. An irrational number is a number that cannot be expressed as a ratio between two integers and is not an imaginary number. If it is written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition.