Answer:
[tex]-\sqrt{3}[/tex] is Irrational No.
Step-by-step explanation:
Irrational nos are no which can not be written in [tex]\frac{p}{q}[/tex] form and also decimal expansion of it is non terminating non repeating.
Option 1: [tex]\sqrt{16}[/tex]
[tex]\sqrt{16} = \pm 4[/tex] and [tex]\pm 4[/tex] are rational nos.
Thus, This is Rational No.
Option 2: [tex]-\frac{22}{9}[/tex]
[tex]-\frac{22}{9}[/tex] , this is already in [tex]\frac{p}{q}[/tex] form.
Thus, This is a Rational No.
Option 3: [tex]-\sqrt{3}[/tex]
Decimal expansion of [tex]\sqrt{3}[/tex] is non terminating non repeating
⇒ Decimal expansion of [tex]-\sqrt{3}[/tex] is also non terminating non repeating.
Thus, This is a irrational No.
