At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
not it isn't. it is equal to -sqrt(-a)(-b)
no it is equal to -1*squrt(a)(b)
yes, that is the same as what I wrote. (-a)(-b)=(a)(b)
i think we cant not multiply two numbers which are negative inside the sqrt...thats what the logic, i guess...what do u say ?
you can do all the arithmetic functions within the square roots. sqrt(20) = sqrt((4)(5))
sqrt(9) = sqrt(5+4)
sqrt(9) is NOT equal to sqrt(4)+sqrt(5)
what u told ll apply for positive numbers..not for negatives...otherwise the question what i posted would have a direct answer
hey actually i saw this, when iam reading abt complex numbers
yes, sqrt of a negative number is imaginary. so when you multiply an imaginary number with another imaginary number you get negative(their product) whereas if sqrt(-5)(-4) is given, it means you first multiply what is within the sqrt and THEN calculate the square root. It is kind of an extension of the BODMAS rule.
if is so...then y sqrt(-a)*sqrt(-b) is not equal to sqrt(-a)(-b)....
because you evaluate what is within the square root and then take its square root so sqrt(-a) X sqrt(-b) = i sqrt(a) X i sqrt(b) = i^2sqrt(ab)= -sqrt(ab)
sqrt(number) is also a number. you must treat sqrt(number) as a number.
sqrt(4) must be treated the same way you treat 2. so sqrt (4) X sqrt(4) means you are multiplying two separate numbers.
you first evaluate the sqrt(4) and THEN do the multiplication. so sqrt(4) X sqrt(4) = 2 X 2 = 4.
iam clear upto the part...that...sqrt(-a)*sqrt(-b) is equal to -1*sqrt(a)*sqrt(b)....am i right ?
so sqrt(-a) X sqrt(-b) means you are taking the number sqrt(-a) and multiplying it by the number sqrt(-b). sqrt(-a) is the number i sqrt(a). sqrt(-b) is the number i sqrt(b). so when you multiply these two numbers you get i^2 sqrt(a)sqrt(b) = -1sqrt(ab)
whereas when you are evaluating sqrt(-a X -b), you treat this as a number too, it is the number sqrt(-a X -b) = sqrt( ab)
yes exactly ur right...i agree with u completely..infact thats what i was saying u right ?
no, you were saying that you cannot perform multiplication within square roots, which you can.
if those two r individually correct, then y iam not able to write LHS=RHS, assuming LHS = sqrt(-a)*sqrt(-b), RHS=sqrt(-a)*(-b)....
I think agian v cam to first...
because LHS and RHS have two different meanings. LHS means you are taking the number sqrt(-a) and multiplying it with the number sqrt(-b) RHS means you are evaluating the number sqrt(-a X -b) which is the same as the number sqrt(ab)
then what abt "-" sign...so u mean to say -sqrt(a*b) is equal to sqrt(-a*-b) ?
sqrt (a) means square root of the number a. sqrt(-a) means the square root of the number -a. sqrt(-a X -b) means square root of the number (-a x -b) which is the same as square root of the number ab.
hey i think i did typing mistake , while writing parentheses....but i understood ur concept....u r right...i conveyed u a wrong message without including brackets....hope so...but iam clear how "-" has come...
so you have to first evaluate what number it is you are taking the square root of, and then square root it.
r u a math student ?....where r u from ?
google sqrt(-1*-4) and see what the answer is google sqrt(-1) * sqrt(-4) and see what the answer is.
do it now and you will see what I am talking about.
ok i ll do it..
just copy and paste what I typed there into google and press enter. google has a built in calculator
no, i'm not a math student. I am from India.
answer is 2, -2
for ur 2 equations
see what I meant? in the first case, the product of (-1 * -4) was done first and then the square root was applied to that number. (-1*-4) = 4. so sqrt(4) = 2 in the second case, sqrt(-1)*sqrt(-4), the square roots were evaluated first, which is i and 2i and THEN they were multiplied. which means i*2i = 2i^2 = -2.
ya i got it..
okay great. cheers!
r u an engineering student ? ....math is ur favorite subject ?
I am not a student. I finished graduation last year. Physics is my favorite subject. I just come here to help out sometimes.
what about you?
ok ...i finished my under graduation in Mechanical engineerign from Hyderabad...presently working in a company, chennai....going to do my MS in Industrial Engineering in US...by this july end iam gonna fly...thats y iam just revising my basics before my classes ll start...Maths is hobby..
oh okay. which university?
JNTU,Kukatpally...do u know it ?
oh yes. I know that university. One of my friend's sister studied there. but i meant which university are gonna do IE in US?
okay...North Carolina State University (NCSU), Raleigh....do u know abt it ?
Oh NCSU, I see. Good, that is a nice university. One of my friends graduated from there. Pack warm clothes. It is pretty cold in NC.
ya its a good university....i love the ambiance there...it ll give u a blend of all the weathers....u can really enjoy...Btw...May-18th is my VISA ...bit nervous..
oh, don't be nervous. It was easy for me. Just don't stammer and show nervousness when the guy asks you anything. takes 5 minutes max. where are going for VISA? chennai consulate?
ya Chennai Consulate..
actually, I just saw the temperatures. not so bad. 32 F is not that bad. It gets that cold here out in the west sometimes.
okay, well all the best.
from which university did u graduated ?
ok so ur in Cali now ?
yeah. I live in Orange County.
actually, I have to move to san francisco by next month.
y so ?..r u working ?
yes. As I said, I graduated last year.
which branch r u ?...whats ur major ?
I did computer engineering. did thesis on wireless networking.
basically r u a telugu guy ?
But I haven't lived in Andhra for more than 2 years.
ohhh...where u used to stay ? atleast do u know telugu r not ?
I used to stay in rajamundry for less than 2 years. but I have lived most of my life in Dehradun and chennai, and now LA. and yes, we speak telugu at home.
I speak telugu, tamil and hindi fluently.
ur not sleeping by this time ?
what about you? how long have you stayed in hyderabad?
I slept in the night for a bit. I can't sleep more, so I decided to stay up and go to office directly tomorrow.
i was in HYD for 7 years...in Chennai for 1 year....i know telugu,tamil,english,hindi....little bit kanada
oh good. that will come in handy here. everyone assumes you know hindi.
alright, it was nice chatting with you. I'm gonna go make some food and have a couple of smokes. its a beautiful night here. All the best for your visa interview! Don't be nervous about it. I'm sure you will get it.
hey really thanks...whats ur name ?...dont scold me as iam asking at last ...
I'm aditya. and i already know yours.
hey bye bye...