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    Subject

    Bank Exam

    Topic

    Uttara Bank Ltd – Probationary Officer - 2017

    Evaluate 248+52+144\sqrt {248 + \sqrt {52 + \sqrt {144} } }

    ক)
    16
    খ)
    17
    গ)
    18
    ঘ)
    19
    ঙ)

    Explanation

    Solution: দেওয়া আছে,  248+52+144\sqrt {248 + \sqrt {52 + \sqrt {144} } } = 248+52+(12)2  \sqrt {248 + \sqrt {52 + \sqrt {{{(12)}^{2\;}}} } } = 248+52+12\sqrt {248 + \sqrt {52 + \sqrt {12} } } = 248+64\sqrt {248 + \sqrt {64} } = 248+(8)2\sqrt {248 + \sqrt {{{(8)}^2}} } = 248+8\sqrt {248 + \sqrt 8 } = 256\sqrt {256} = (16)2\sqrt {{{(16)}^2}}         = 16

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