- [tex]\frac{3\pi.3^3}{7}[/tex] is not included as a rational number !
Step-by-step explanation:
Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:
We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !
Here Expressions are:
- [tex]\frac{3\pi . 3^3}{7\pi}[/tex] :
Let's evaluate this expression
⇒ [tex]\frac{3(\pi) ( 3^3)}{7(\pi)}[/tex]
⇒ [tex]\frac{3^4}{7}[/tex]
Therefore , It is a rational number ! .
- [tex]\frac{-18}{5}[/tex] :
Let's evaluate this expression
⇒ [tex]\frac{-18}{5}[/tex]
Therefore , It is a rational number ! .
- [tex]\frac{5}{3-7-9}[/tex] :
Let's evaluate this expression
⇒ [tex]\frac{5}{3-16}[/tex]
⇒ [tex]\frac{-5}{13}[/tex]
Therefore , It is a rational number ! .
- [tex]\frac{3\pi.3^3}{7}[/tex] :
Let's evaluate this expression
⇒ [tex]\frac{3\pi.3^3}{7}[/tex]
⇒ [tex]\frac{\pi.3^4}{7}[/tex]
Therefore , It is not a rational number , as pi is included ! .
