Answer:
π is irrational.
Step-by-step explanation:
Since, a real number is called rational if it can be expressed as [tex]\frac{p}{q}[/tex],
Where,
p and q are integers,
Such that, q ≠ 0,
Otherwise, the real number is called irrational.
Since, -15, 4, -7, 9 are integers,
Such that, 4, 9 ≠ 0
Thus,
[tex]-\frac{15}{9}[/tex] and [tex]\frac{-7}{9}[/tex] are rational numbers ⇒ they are not irrational,
Now,
√4 = 2 = [tex]\frac{2}{1}[/tex]
Where, 2 and 1 are integers such that 1 ≠ 0,
Thus, √4 is not irrational,
While,
π = 3.14159265359....
Which is a non terminating non recurring decimal,
That is, it can not be expressed as [tex]\frac{p}{q}[/tex] where, p and q are integers such that q ≠ 0
Hence, π is irrational.
