Question

Choose all expressions that when added result in a rational number

3/5 plus 3/7
0.125 plus 5
1/2 plus 0.375
\sqrt2 plus 4
\sqrt4 plus 2/5
1 plus \pi
Please help my bro

Answer 1

The Answer's Fam are................. 3/5 plus 3/7.....0.125 plus 5...........1/2 plus 0.375 And....\sqrt4 plus 2/5

Answer 2

`(3)/(5)` plus
`(3)/(7)`

0.125 plus 5

`(1)/(2)` plus 0.375

√4 plus
`(2)/(5)`

Explanation:

A rational number is a real number that can be expressed in the form of
`(p)/(q)`

Where, p and q are integers,

Such that, q ≠ 0

Also, a terminating decimal and root of a perfect square number are always rational numbers,

∵ When we add two rational numbers then the resultant number is always a rational number,

Since,
`(3)/(5)` and
`(3)/(7)` are rational number,

`\implies (3)/(5)+(3)/(7)` must be a rational number,

Similarly,

(0.125 + 5), (√4 +
`(2)/(5)` ) and (1/2 + 0.375) are rational numbers,

While, if a real number is not a rational number then it is irrational,

Now, the sum of rational number and irrational number is always an irrational number,

⇒ (√2 + 4) and (1+
`\pi` ) are irrational numbers.