In high school I had a book to learn math and nothing else, not even a slide rule. Mr H would have helped me a lot. The present generation needs to be grateful for having computers, the internet, and Mr. H
C Because The condition of the identity √(ab) = √a • √b is a > 0 or b > 0, that means at least one for the parameters a and b must be a positive number, simply put it is both parameters cannot be negative at the same time.
I was going to say A. Because a square root of a perfect square can have to possible out comes either 10 or negative ten. The i analysis was good when one take into account the existence of complex numbers. However, because there is a plus minus in front of square root the negative solution has to be discarded because negative 10 is not equal to 10. In the end the starting premise of the problem is wrong because 10 is not equal to negative 10 so why even bother to prove it. What you did prove though with the imaginary unit is the existence of a negative square root -10 for the square root of 100.
I think there is and error at level of c cause when we have multiplication of negative numbers in a square root we first compute the 2 negative numbers
The answer is actually A & B, not C. You set 10 equal to √100 but that's wrong because the √100 doesn't equal -10 which is the number you were supposed to be substituting for. *So basically, as soon as he made the -100 a square root it was over, cuz he would just have to do what's in the parentheses which takes him back to -100
I know I'm being super dumb here going against Mr. H, but I thought "F-G" was the mistake. Doesn't any number (i^2 in this case) to the power of 2 become positive? I'd appreciate it if someone could explain that to me. Thank you.
then could you explain the reason behind why the +/- is in the quadratic formula? you could have either plus or a minus, why both if the square root radical is gonna output both plus and minus anyways? that analogy you suggested could lead to two different solutions to the same operation which in arithmetic CANNOT happen.
@@Brid727 It is not the same operation. ^2 and ^1/2 are not the same. One is square, the other is square root, inversed function. ^1/3 is cube root, ^1/4 is 4th root, ^1/5 is the 5th root etc.
@@madarab that didn't answer my question as to why the +/- exists in the quadratic formula. I KNOW that x^2 and sqrt(x) are clearly different and the inverse of each other 😒