If x = ( √7 – √6 ) / (√7 + √6 ) and y =( √7 + √6 ) / (√7 – √6 ) , then the value of x + y is ​

Question

If x = ( √7 – √6 ) / (√7 + √6 ) and y =( √7 + √6 ) / (√7 – √6 ) , then the value of x + y is

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Remi 5 months 2021-12-29T18:18:22+00:00 2 Answers 0 views 0

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    0
    2021-12-29T18:19:35+00:00

    Answer:

    the value of x+y is 26.

    Step-by-step explanation:

    x={(√7–√6)/(√7+√6)}×{(√7–√6)/(√7–√6)}

    =(√7–√6)²/{(√7)²-(√6)²}

    =(7+6–2√42)/(7–6)= (13–2√42)

    y={(√7+√6)/(√7–√6)}×{(√7+√6)/(√7+√6)}

    =(√7+√6)²/{(√7)²-(√6)²}

    =(7+6+2√42)/(7–6)= (13+2√42)

    Now,

    x+y= 13-2√42+13+2√42

    = 13+13

    = 26..

    Please mark my answer as a brainleast.......

    0
    2021-12-29T18:20:14+00:00

    here is your answers … hope it helps you

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