Write the truth values of the following statements :
(a) `sqrt5` is an irrational number but `3+sqrt5` is a complex number

Write the truth values of the following statements: sqrt5 is an irrational but 3sqrt5 is a complex number.

Write the negation of each of the following statements : sqrt(5) is an irrational number.

Prove that 3+sqrt5 is an irrational number.

Prove that 2+sqrt5 is an irrational number.

Write the truth values of the following statement 2 is a rational number and sqrt(2) is an irrational number.

Write the truth value of the following compound statements"12-9i (i=sqrt-1) is a real number or it is a complex number

Write the truth value for each of the following statements. (1) 3+5=8 and sqrt(2) is an irrational number. (2) 5 is a positive integer or a square is a rectangle. (3) Chennai is not a Tamilnadu.

Prove that 2-3sqrt5 is an irrational number.