Answer:
√6× 0 is irrational .
π ÷ π is irrational .
10 π - 7 π is rational .
[tex]\sqrt{49}+\frac{1}{3}[/tex] is rational .
Step-by-step explanation:
Definition of rational and irrational numbers
The numbers in the form of fraction are called rational and others are called irrational numbers .
First Part
= √6× 0
= 0
Thus √6× 0 is irrational .
Second Part
= π ÷ π
It is also written as
[tex]=\frac{\pi}{\pi }[/tex]
= 1
Thus π ÷ π is irrational .
Third Part
= 10 π - 7 π
= (10 - 7)π
= 3π
[tex]\pi = \frac{22}{7}[/tex]
[tex]= \frac{22\times 3}{7}[/tex]
[tex]= \frac{66}{7}[/tex]
Thus 10 π - 7 π is rational .
Fourth Part
[tex]=\sqrt{49}+\frac{1}{3}[/tex]
[tex]\sqrt{49}=7[/tex]
[tex]=7+\frac{1}{3}[/tex]
[tex]=\frac{7\times 3+1}{3}[/tex]
[tex]=\frac{22}{3}[/tex]
Thus [tex]\sqrt{49}+\frac{1}{3}[/tex] is rational .
