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Mathematics 8 Online
OpenStudy (anonymous):

I don't get this!!! Help?!

OpenStudy (anonymous):

what is it

OpenStudy (anonymous):

\[\sqrt{\frac{ 68x ^{15}y ^{9} }{ 7xy ^{11} }}\]

OpenStudy (anonymous):

um? i am sorry i dont know

OpenStudy (anonymous):

what kind of math is this????

OpenStudy (anonymous):

It's okay :/ algebra

OpenStudy (anonymous):

1 or 2

OpenStudy (anonymous):

1

OpenStudy (anonymous):

I can help in one minute

OpenStudy (anonymous):

oh well sorry i took that already and i am terrible at it i would get you a bad grade

OpenStudy (anonymous):

@.Sam. @Notamathgenius @saifoo.khan @Eyad

OpenStudy (anonymous):

\[\sqrt{68x^{15}y^9\over7xy^{11}}\]First let's cancel each of the components.\[{x^{15}\over x } = x^{14}\] \[y^9/y^{11} = y^{-2}\] Giving us \[\sqrt{68x^{14}y^{-2}\over7}\]with me so far?

OpenStudy (anonymous):

Ah sorry @UnkleRhaukus please continue.

OpenStudy (anonymous):

(if you want)

OpenStudy (unklerhaukus):

i was just gonnna say \[\sqrt{\frac{ 68x ^{15}y ^{9} }{ 7xy ^{11} }}=\sqrt{\frac{ 68x ^{15-1}y ^{9-11} }{ 7 }}\] but you continue @hea

OpenStudy (anonymous):

Okay, yea...

OpenStudy (anonymous):

Alright, cheers, mate. So now we can square root each bit individually (because they are all multiplied together)\[\sqrt{{68x^{14}y^{-2}\over 7}}\] \[\sqrt{x^{14}} = ?\]

OpenStudy (anonymous):

\[\sqrt{x^{14}} = (x^{14})^{1/2} = x^7\]

OpenStudy (anonymous):

Would that be \[x ^{7} \]

OpenStudy (anonymous):

Yeah!

OpenStudy (anonymous):

okay...

OpenStudy (anonymous):

\[\sqrt{y^{-2}} = ?\]

OpenStudy (anonymous):

tswizzle give hea a medal i will give you one for wanting to learn

OpenStudy (anonymous):

Ok well \[\sqrt{y^{-2}} = (y^{-2})^{1/2} = y^{-1}\]does that make sense?

OpenStudy (anonymous):

haha, cheers @loser123456789876 !

OpenStudy (anonymous):

Oh she's gone. @TSwizzle ?

OpenStudy (anonymous):

Well, assuming you understand what we have done. So far we have \[\sqrt{68\over 7}x^{7}y^{-1}\]Now 68 can be rewritten as \(4 \times 17\) so \[\sqrt{{4\times17 \over 7}} =2\sqrt{17/7}\]. So eventually we have \[2\sqrt{17/7}x^7y^{-1}\]

OpenStudy (anonymous):

Hope that helps!

OpenStudy (anonymous):

I am a he and i am copying a form for camp

OpenStudy (anonymous):

@hea can you give TSwizzle a medal for wanting to learn

OpenStudy (anonymous):

Sorry, lost internet connection. Thanks that helps a lot.

OpenStudy (anonymous):

That's not one of the options...It's a multiple choice question.

OpenStudy (anonymous):

remember that \[y^{-1} = {1\over y}\]

OpenStudy (anonymous):

If you're still struggling it might be worth putting the choices.

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