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Math Help - transpose issue

  1. #1
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    transpose issue

    Hi;
    I have make u the subject of v^2 = u^2 + 2as.

    The solution is u = sqrt(v^2 - 2as).

    the last opporation is take sqrt of both sides so I need parenthesis because the
    last opporation is sqrt.

    but in another example I have a solution of sqrt 2(s-v)/a.
    why dont I need parenthesis around the fraction.

    Thanks.
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  2. #2
    Member HappyJoe's Avatar
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    If in the last solution, you meant to have all of the expression 2(s-v)/a under the square root, then parantheses should have been included for the sake of readability: It should have been sqrt(2(s-v)/a).

    If parantheses are not included, then it becomes unclear exactly what part of the expression belongs under the square root. For instance, I could also read "sqrt 2(s-v)/a" as

    sqrt(2)*(s-v)/a,

    or

    sqrt(2(s-v))/a,

    these being entirely different expressions.
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  3. #3
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    Thanks for your quick reply Happyjoe the equation is t^2 = 2(s - v ) / a.

    seem as I need to take the entire sqrt of both sides the solution should be t = sqrt(2(s - v) / a) is the correct.
    Because I'm taking the sqrt root of everthing on the rhs parenthesis should be used.
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  4. #4
    Member HappyJoe's Avatar
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    Yes, I agree with what you're saying.
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  5. #5
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    But why do I see it in lots of places without parenthesis.

    Thanks
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  6. #6
    Member HappyJoe's Avatar
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    Because of sloppyness, I assume.

    There could also be some standing assumption that if parantheses are left out, then it is implicit that everything after the square root belongs under the root. This would be a rather annoying convention, so I do suspect sloppyness.
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