10th Class Mathematics Real Numbers Question Bank Real Numbers

  • question_answer
    Choose the irrational number.

    A)  \[2-\sqrt{4}\]                   

    B)         \[{{(\sqrt{5})}^{2}}\]

    C)  \[\sqrt{9}-\sqrt{4}\]     

    D)         \[\sqrt{2}-\sqrt{3}\]

    Correct Answer: D

    Solution :

     \[\Rightarrow \]                                 (Rational number)                 \[L.C.M.=\frac{140\times 605}{11}=7700\](Rational number)                 \[\text{1}00\text{1}=\text{91}\times \text{1}0+\text{91}\]                                 (Rational number) Also, the sum or difference of two irrational numbers is irrational. Thus, \[\text{91}0=\text{91}\times \text{1}0+0\]is irrational.


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