Dividing Radicals

I used this for the redial sign \/


30 \/15

4 \/10

The book says the answer is 15/4 \/6 (15/4 with radicand of 6). I have tried to solve the problem several different ways. I do not arrive at this answer.

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  1. how about this :
    30√15 / (4√10)
    = 15√3 / 2√5 now multiply top and bottom by √2
    = 15√6 /4

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  2. Thank you for your response.

    I did get 15\/3 and 2\/5. Why would you then mutiply by \/2?

    The answer in the book is 15/4 with radicand of 4 not a radicand of 6. Are you also showing that there is a missprint in the book and the racdicand is 4?
    I have several missprints int he book.

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  3. At the top of your post you said the book answer was 15/4 with radicand of 6
    and now you say it is 15/4 with radicand of 4 not a radicand of 6. ???

    It is generally considered "poor form" to have a radical in the denominator
    This goes back to pre-calculator times.
    What would you rather have done back in 1950:
    divide by √2 which would be dividing by 1.4142136...
    or divide by 4 ?

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  4. BTW, I just noticed that my second last line in my solution is
    15√3 / 2√5

    that should have been
    15√3 / 2√2

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  5. If is 4 \/10. Why would it be 2 \/2 and not the 2 \/5?

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  6. OK, from the start:

    30√15 / (4√10) divide top and bottom by 2√5
    = 15√3 / 2√2 multiply top and bottom by √2
    = 15√6 /4

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