Question

Choose all expressions that when added result in a rational number

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

Answer:

$\frac{3}{5}$ plus $\frac{3}{7}$

0.125 plus 5

$\frac{1}{2}$ plus 0.375

√4 plus $\frac{2}{5}$  

Step-by-step explanation:

A rational number is a real number that can be expressed in the form of $\frac{p}{q}$

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, $\frac{3}{5}$ and $\frac{3}{7}$ are rational number,

$\implies \frac{3}{5}+\frac{3}{7}$ must be a rational number,

Similarly,

(0.125 + 5), (√4 + $\frac{2}{5}$ )  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.