Correct option is (d) rational or irrational
To explain: Let’s take two irrational numbers to understand this.
Consider \(\sqrt{2}\) and –\(\sqrt{2}\)
By adding these, we get \(\sqrt{2}\) + (-\(\sqrt{2}\)) = 0
Which is rational number since it is terminating.
Now, consider \(\sqrt{5}\) and \(\sqrt{2}\)
By adding these, we get \(\sqrt{5}\) + \(\sqrt{2}\)
Which is irrational since the expansion of √5 and √2 is non-terminating and non-recurring.
Now, let’s take two numbers for subtraction.
Consider \(\sqrt{2}\) and \(\sqrt{2}\).
By subtracting these, we get \(\sqrt{2} – \sqrt{2}\) = 0
Which is rational number since it is terminating.
Consider \(\sqrt{5}\) and \(\sqrt{2}\)
By subtracting these, we get \(\sqrt{5}\) – \(\sqrt{2}\)
Which is irrational since the expansion of \(\sqrt{5}\) and \(\sqrt{2}\) is non-terminating and non-recurring.
Hence, we can say that if we add or subtract two irrational numbers, we get rational or irrational number.