Question

Classify each expression as rational or irrational.

√6× 0

π ÷ π

10 π - 7 π

√49+1/3

Answer 1

1. Rational
2.irrational
3.irrational
4.rational

Answer 2

√6× 0 is irrational .

π ÷ π is irrational .

10 π - 7 π is rational .

`√(49)+(1)/(3)` is rational .

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

`=(\pi)/(\pi )`

= 1

Thus π ÷ π is irrational .

Third Part

= 10 π - 7 π

= (10 - 7)π

= 3π

`\pi = (22)/(7)`

`= (22* 3)/(7)`

`= (66)/(7)`

Thus 10 π - 7 π is rational .

Fourth Part

`=√(49)+(1)/(3)`

`√(49)=7`

`=7+(1)/(3)`

`=(7* 3+1)/(3)`

`=(22)/(3)`

Thus
`√(49)+(1)/(3)` is rational .