10th Class Mathematics Real Numbers Question Bank Case Based MCQs - Real Number

  • question_answer
     
    Directions: Q. 11 to 15
    Activity on Real Numbers In a classroom (class-X) activity on real numbers, the students have to pick a number card from a box and frame question on it is not a rational number for the rest of the class. The number cards picked up by first 5 students and their questions on the numbers for the rest of the class are as shown below.
    Based on the above information answer the following questions.
    Akshay picked up \[\sqrt{12}\]and his question was-Which of the following is true about \[\sqrt{12}\]

    A) It is a natural number

    B) It is an irrational number

    C) It is a rational number

    D) None of the above

    Correct Answer: B

    Solution :

    Given, \[\sqrt{12}\] (a number)
     \[\sqrt{12}=2\sqrt{3}\]
     Here, 2 is a rational number and \[\sqrt{3}\]
    is an irrational number.
    We know that, product of rational and irrational number is a irrational number. Hence, \[\sqrt{12}\] is an irrational number.


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