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Number systems — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSNumber systems1 Mark
Question
The product of two irrational number is:
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Answer

  1. sometimes rational and sometimes irrational.
    Solution:
    Consider, the irrational number, $\sqrt{3}.$
    Product $=\sqrt{3}\times\sqrt{3}=3,$ which is a rational number.
    Consider two irrational numbers, $\sqrt{2}$ and $\sqrt{3}.$
    Product $=\sqrt{2}\times\sqrt{3}=\sqrt{6},$ which is an irrational number.
    Hence, the product of two irrational numbers are sometimes rational and sometimes irrational.
    Hence, the correct opion is (d).

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