10th Class Mathematics Real Numbers Question Bank Real Number

  • question_answer
      Given \[\mathbf{a=p-}\sqrt{\mathbf{q}}\] and \[\mathbf{b=p+}\sqrt{\mathbf{q}}\] which of the following is correct. Where q is a prime number.

    A)  a + b is irrational          

    B)  a - b is rational.

    C)  2ab is rational

    D)  \[\frac{a}{b}\] is rational

    Correct Answer: C

    Solution :

    (c):  \[2ab=2\left( p-\sqrt{q} \right)\left( p+\sqrt{q} \right)=2\left( {{p}^{2}}-q \right)\]        


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