The true statements are:
π is irrational because π is not a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
The false statement is:
7√ is rational because 7 is not a perfect square.
This statement is false because the square root of 7 cannot be expressed as a fraction of two integers, making it an irrational number.
Therefore the true statements are:
π is irrational because π is not a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.