squrt(-a)*squrt(-b) is equal to squrt (-a)(-b) or not ?

- anonymous

squrt(-a)*squrt(-b) is equal to squrt (-a)(-b) or not ?

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- anonymous

not it isn't.
it is equal to -sqrt(-a)(-b)

- anonymous

no it is equal to -1*squrt(a)(b)

- anonymous

yes, that is the same as what I wrote. (-a)(-b)=(a)(b)

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## More answers

- anonymous

i think we cant not multiply two numbers which are negative inside the sqrt...thats what the logic, i guess...what do u say ?

- anonymous

you can do all the arithmetic functions within the square roots. sqrt(20) = sqrt((4)(5))

- anonymous

sqrt(9) = sqrt(5+4)

- anonymous

sqrt(9) is NOT equal to sqrt(4)+sqrt(5)

- anonymous

what u told ll apply for positive numbers..not for negatives...otherwise the question what i posted would have a direct answer

- anonymous

hey actually i saw this, when iam reading abt complex numbers

- anonymous

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.

- anonymous

if is so...then y sqrt(-a)*sqrt(-b) is not equal to sqrt(-a)(-b)....

- anonymous

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)

- anonymous

sqrt(number) is also a number. you must treat sqrt(number) as a number.

- anonymous

sqrt(4) must be treated the same way you treat 2. so sqrt (4) X sqrt(4) means you are multiplying two separate numbers.

- anonymous

you first evaluate the sqrt(4) and THEN do the multiplication. so sqrt(4) X sqrt(4) = 2 X 2 = 4.

- anonymous

iam clear upto the part...that...sqrt(-a)*sqrt(-b) is equal to -1*sqrt(a)*sqrt(b)....am i right ?

- anonymous

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)

- anonymous

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)

- anonymous

yes exactly ur right...i agree with u completely..infact thats what i was saying u right ?

- anonymous

no, you were saying that you cannot perform multiplication within square roots, which you can.

- anonymous

wait wait...

- anonymous

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)....

- anonymous

I think agian v cam to first...

- anonymous

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)

- anonymous

then what abt "-" sign...so u mean to say -sqrt(a*b) is equal to sqrt(-a*-b) ?

- anonymous

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.

- anonymous

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...

- anonymous

so you have to first evaluate what number it is you are taking the square root of, and then square root it.

- anonymous

r u a math student ?....where r u from ?

- anonymous

google sqrt(-1*-4) and see what the answer is
google sqrt(-1) * sqrt(-4) and see what the answer is.

- anonymous

do it now and you will see what I am talking about.

- anonymous

ok i ll do it..

- anonymous

just copy and paste what I typed there into google and press enter. google has a built in calculator

- anonymous

no, i'm not a math student. I am from India.

- anonymous

answer is 2, -2

- anonymous

for ur 2 equations

- anonymous

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.

- anonymous

ya i got it..

- anonymous

okay great. cheers!

- anonymous

r u an engineering student ? ....math is ur favorite subject ?

- anonymous

I am not a student. I finished graduation last year. Physics is my favorite subject. I just come here to help out sometimes.

- anonymous

what about you?

- anonymous

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..

- anonymous

oh okay. which university?

- anonymous

JNTU,Kukatpally...do u know it ?

- anonymous

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?

- anonymous

okay...North Carolina State University (NCSU), Raleigh....do u know abt it ?

- anonymous

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.

- anonymous

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..

- anonymous

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?

- anonymous

ya Chennai Consulate..

- anonymous

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.

- anonymous

okay, well all the best.

- anonymous

from which university did u graduated ?

- anonymous

USC

- anonymous

ok
so ur in Cali now ?

- anonymous

yeah. I live in Orange County.

- anonymous

ohh cool

- anonymous

actually, I have to move to san francisco by next month.

- anonymous

y so ?..r u working ?

- anonymous

yes. As I said, I graduated last year.

- anonymous

okkkk

- anonymous

which branch r u ?...whats ur major ?

- anonymous

I did computer engineering. did thesis on wireless networking.

- anonymous

ok

- anonymous

basically r u a telugu guy ?

- anonymous

yes.

- anonymous

ok

- anonymous

But I haven't lived in Andhra for more than 2 years.

- anonymous

ohhh...where u used to stay ? atleast do u know telugu r not ?

- anonymous

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.

- anonymous

I speak telugu, tamil and hindi fluently.

- anonymous

ur not sleeping by this time ?

- anonymous

what about you? how long have you stayed in hyderabad?

- anonymous

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.

- anonymous

i was in HYD for 7 years...in Chennai for 1 year....i know telugu,tamil,english,hindi....little bit kanada

- anonymous

oh good. that will come in handy here. everyone assumes you know hindi.

- anonymous

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.

- anonymous

hey really thanks...whats ur name ?...dont scold me as iam asking at last ...

- anonymous

I'm aditya. and i already know yours.

- anonymous

thanks...

- anonymous

bye now.

- anonymous

hey bye bye...

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