trigonometry

5+ radical 7 over 5- radical 7 is equivalent to what?

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  1. Let's take a look at how to solve these kinds of problems.

    I'm assuming the problem is this:

    5 + √7
    ------
    5 - √7

    Multiply both top and bottom by the equivalent of 1 to get rid of the radical in the denominator:

    (5 + √7)(5 + √7)
    ----------------
    (5 - √7)(5 + √7)

    Let's multiply using FOIL:

    25 + 5√7 + 5√7 + 7
    ------------------
    25 + 5√7 - 5√7 - 7

    Combine like terms:

    32 + 10√7
    ---------
    18

    Factor out 2 from both the top and bottom:

    2(16 + 5√7)
    -----------
    2(9)

    Cancel out the 2 from top and bottom.

    We end up with this:

    16 + 5√7
    --------
    9

    And there you have it!

    I hope this helped.

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