Answer:
[tex]\frac{3}{5}[/tex] plus [tex]\frac{3}{7}[/tex]
0.125 plus 5
[tex]\frac{1}{2}[/tex] plus 0.375
√4 plus [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
A rational number is a real number that can be expressed in the form of [tex]\frac{p}{q}[/tex]
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, [tex]\frac{3}{5}[/tex] and [tex]\frac{3}{7}[/tex] are rational number,
[tex]\implies \frac{3}{5}+\frac{3}{7}[/tex] must be a rational number,
Similarly,
(0.125 + 5), (√4 + [tex]\frac{2}{5}[/tex] ) 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+[tex]\pi[/tex] ) are irrational numbers.
