$(\sqrt{2} + \sqrt{3}) (\sqrt{2} - \sqrt{3}) = 1$

Product of two irrational numbers is a rational number

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Irrational number has a non- terminating recurring decimal expansion

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Solution

The correct option is B
Irrational number has a non- terminating recurring decimal expansion

To solve this question, apply the algebraic identity $(a^{2} - b^{2}) = (a + b) (a - b)$ .

= $(\sqrt{2} + \sqrt{3}) (\sqrt{2} - \sqrt{3})$
= $(\sqrt{2})^{2} - (\sqrt{3})^{2}$

=-1.

Hence the given statement is false.

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