📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!


    Question

     `sqrt(sqrt(15+sqrt(15+sqrt(15)) ... prop)`   =

    ?
    A (1+√77)/2 Correct Answer Incorrect Answer
    B (1+√70)/2 Correct Answer Incorrect Answer
    C (1+√61)/2 Correct Answer Incorrect Answer
    D (1+√31)/2 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    If the given number cannot be break in two consecutive numbers then for x= `sqrt(sqrt(N+sqrt(N+sqrt(N)) ... prop)` , use this shortcut ,  x =  `{1 + sqrt(4N+1)}/2` Here n = 15, x = `{1 + sqrt(4 xx 15+1)}/2` x= `{1 + sqrt(60+1)}/2` x = `{1 + sqrt(61)}/2`

    Practice Next

    Relevant for Exams:

    ask-question