Simplify:

If 3+√7 / 3-√7 = a+b√7 find a and b

San Default Asked on 28th May 2016 in Maths.
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  • 1 Answer(s)

    Answer: (8, 3) 

    Solution:-
    (3 + √7)/(3 – √7) = a + b√7
    (3 + √7) (3 + √7) /(3 – √7) (3 + √7) = a + b√7
    {3² + (√7)² + 2 x 3 x √7}/{3² – (√7)²} = a + b√7
    (9 + 7 + 6√7)/(9 – 7) = a + b√7
    (16 + 6√7)/2 = a + b√7
    8 + 3√7 = a + b√7
    Comparing on both side,
    Then, the value of a = 8 & b = 3

    Hence, the correct answer is (8, 3).

    Anurag Mishra Professor Answered on 5th July 2016.
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