Sal. I am so thankful for your video classes. My 12 year old son is very bright but extremely dyslexic. This year he is doing your world history, biology, and algebra classes. He is learning so much from you. Your classes are perfect for dyslexic students. We don't do any work sheets though ..... too hard to decode.
Hi! It's so amazing how technology can help students of any learning style! We are committed to joining this effort and are producing free, animated math lessons. We are in the process of reaching out to parents, students, and teachers in an effort to gain feedback. Check us out and let us know what you think! (ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-RPVu3pYDUFI.html) :)
Sal: It is good to see you doing problems in number theory such as the Classic Proof of "the square root of 2 being irrational" and ones similar to this video. Please continue as they are very mentally challenging and stimulating. Kudos!
Nah, you can’t add denominators together. If you could, 1/2 + 1/2 would be 2/4, which is 1/2. So you’d get 1/2 + 1/2 = 1/2, which isn’t right. If you add two fractions that have the same denominator, the denominator stays the same in the final answer. So, 1/2 + 1/2 = 2/2 = 1, which makes sense since two halves makes a whole.
That would be tempting, but we can't. We are trying to prove that any rational number plus any irrational number must be irrational. For that, we would need to use the definition of a rational number, assume that the sum of the rational and irrational number is rational, and then use the definition of the rational number to do some manipulation and approach the contradiction to prove that the sum of any rational number and any irrational number is always irrational.
