Question

Which expression represents a rational number?

StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Pi + StartRoot 16 EndRoot
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot

Answer 1

2 / 7 + 12

Explanation:

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Answer 2

`(2)/(7)+√(121)`

Explanation:

Given: expressions

To find: expression that denotes a rational number

Solution:

A number of the form
`(p)/(q)` where p and q are integers and
`q\\eq 0` is said to be a rational number.

Sum of a rational and irrational number is irrational.

In
`(5)/(9)+√(18)`,
`(5)/(9)` is a rational number and
`√(18)` is an irrational number

So,
`(5)/(9)+√(18)` is not a rational number.

In
`\pi+√(16)=\pi+4`,
`\pi` is an irrational number and 4 is a rational number

So,
`\pi+√(16)` is not a rational number.

In
`(2)/(7)+√(121)=(2)/(7)+11=(2+77)/(7)=(79)/(7)`,
`(79)/(7)` is a rational number

So,
`(2)/(7)+√(121)` is a rational number

In
`(3)/(10)+√(11)`,
`(3)/(10)` is a rational number and
`√(11)` is an irrational number

So,
`(3)/(10)+√(11)` is not a rational number.