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    Which of the following is not irrational ?
    Question

    Which of the following is not irrational ?

    A.

    √10

    B.

    √24

    C.

    √35

    D.

    √121

    Correct option is D

    Solution:


    Given:

    We need to identify which of the given options is not an irrational number.

    Formula Used:

    A number is irrational if it cannot be expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating. A square root of a number is not irrational if the number is a perfect square.

    Solution:

    1. Option A: 10\sqrt{10}
     10 is not a perfect square.
    10 \sqrt{10}​ is irrational.

    2. Option B: 24\sqrt{24}
    - 24 is not a perfect square.
    - 24\sqrt{24} is irrational.

    3. Option C: 35\sqrt{35}
    - 35 is not a perfect square.
    - 35\sqrt{35}​ is irrational.

    4. Option D: 121\sqrt{121}
    - 121 is a perfect square (121=112)( 121 = 11^2 )
    - 121=11\sqrt{121} = 11​ , which is a rational number.

    Final Answer:

    Option D: 121\sqrt{121}

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