Answer:
√6× 0 is irrational .
π ÷ π is irrational .
10 π - 7 π is rational .
\(\sqrt{49}+\frac{1}{3}\) 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
\(=\frac{\pi}{\pi }\)
= 1
Thus π ÷ π is irrational .
Third Part
= 10 π - 7 π
= (10 - 7)π
= 3π
\(\pi = \frac{22}{7}\)
\(= \frac{22\times 3}{7}\)
\(= \frac{66}{7}\)
Thus 10 π - 7 π is rational .
Fourth Part
\(=\sqrt{49}+\frac{1}{3}\)
\(\sqrt{49}=7\)
\(=7+\frac{1}{3}\)
\(=\frac{7\times 3+1}{3}\)
\(=\frac{22}{3}\)
Thus \(\sqrt{49}+\frac{1}{3}\) is rational .
