Recent content by pmoseman

  1. P

    Is sqrt(5) Rational? Understanding the Proof by Contradiction

    The product of pi * 1/pi is no different from the quotient pi / pi and those are the exact same number. sqrt(24) and sqrt(6) are different irrational numbers, but they are not different like 3 and 7 are different, they are different like 34 and 68. You can express 68 as 34 + 34, meaning it...
  2. P

    Is sqrt(5) Rational? Understanding the Proof by Contradiction

    How many times do we have to answer this guys question? Enough already! We are not trying to do this to the nth root. Unless you have a proof other than sqrt(a) = p/q just forget it. That's the only proof anyone has. The rest are just statements of fact.
  3. P

    Is sqrt(5) Rational? Understanding the Proof by Contradiction

    Are you calling me out on using the word "equations", instead of "expressions" (for which I provide solutions). It seems lackadaisical then for you to use terms such as "any" odd exponent, or a number "has" a square root. I could only understand the theorem you stated after seeing this: n =...
  4. P

    Is sqrt(5) Rational? Understanding the Proof by Contradiction

    I am having trouble for the moment understanding this theorem, and I have a question about this theorem in general, even if it is in fact a theorem. What does prime factorization have to do with even/odd exponents? Prime factorization leads to a set of prime numbers. Can a prime number have...
  5. P

    Is sqrt(5) Rational? Understanding the Proof by Contradiction

    I'm probably being totally naive, but I'd have thought it is not too hard to show that two irrational numbers (a, b) have an irrational product if a and b are not equal, and a is not the reciprocal of b. Not straightforward to show? Mark Looking at this quote, I think we can keep along...
  6. P

    Is sqrt(5) Rational? Understanding the Proof by Contradiction

    Square roots of irrational numbers have how many fewer rational solutions? Look at the relationships of square roots laid out with respect to one another. Please take a moment to warm your brain up. This is not a proof and debate is welcome. In the following equations: (1) sqrt(X) +...
  7. P

    Is sqrt(5) Rational? Understanding the Proof by Contradiction

    Obviously sqrt(24) is just sqrt(6) * 2 so you haven't proven anything but 6 * 2 = 12.
  8. P

    Difference Between Inverse & Reciprocal

    Ooo, pretty...
  9. P

    Difference Between Inverse & Reciprocal

    Well, I have seen people try to factor/distribute with functions as if they were coefficients. I probably should have stated this. What I meant by asking if trigs are functions is: don't we just use a chart to find trig values? Without a formula could it be a true function?
  10. P

    Difference Between Inverse & Reciprocal

    To find the inverse of 2x = y, (we switch the x with the y) we use 2y = x OR y=x/2 For the reciprocal of 2x = y (we switch the denominator with the numerator of y) that is 2x = 1/y OR y = 1/2x Remember a reciprocal of a number is any number you can multiply by that number to = 1. such as -1...
  11. P

    Difference Between Inverse & Reciprocal

    Insidious!
  12. P

    Difference Between Inverse & Reciprocal

    Reciprocal implies an equality. To reciprocate a smile means to smile back. While inverse implies an opposite. To invert a smile means to frown. However in mathematics it is often stated that the inverse of a number is the reciprocal of a number. I believe, however, this is incorrect usage...
Back
Top