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    Which of the following is NOT a rational number?
    Question

    Which of the following is NOT a rational number?

    A.


    B.


    C.


    D.


    Correct option is B


    Given: We need to identify which of the options is not a rational number.
    Concept Used:
    A rational number can be expressed as a fraction of two integers, i.e., it can be written in the form of p/q where both p and q are integers, and q is not equal to 0.
    The square root of a perfect square is a rational number, while the square root of a non-perfect square is irrational.
    Solution:
    For √(3² + 4²):
    Calculate the value inside the square root:
    3² + 4² = 9 + 16 = 25.
    So, √25 = 5, which is a rational number.
    For √12.96:
    The square root of 12.96 is 3.6, which is a rational number because it can be expressed as a fraction (36/10).
    For √125:
    125 is not a perfect square, so √125 is an irrational number.
    For √900:
    The square root of 900 is 30, which is a rational number.
    Since √125 is not a perfect square, it is an irrational number.
    Final Answer: (b) √125

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