√7x^6y^3
8z

Question

√7x^6y^3
          8z

amistre64 · Answer

I know what it means individually; but when you put them all together like that it just loses all rhyme and reason ...

anonymous · Answer

?

amistre64 · Answer

my point exactly :)   How do you expect anyone to make any sense of this question? You might as well asks:

fiwjnduudhne&%9sdj2((

anonymous · Answer

R u making fun of me? I am new here so maybe I wrote it wrong but this is what it looks like in my book

amistre64 · Answer

then you should burn your book.... 

its not making fun of you; its trying to figure out what is written and discern some sensible form or function to it...

amistre64 · Answer

as is; its complete and utter gibberish

anonymous · Answer

$$\sqrt{7x ^{6}y ^{3}}$$ I don't know how to write the 8z underneath it..

amistre64 · Answer

is it a divde by 8z?  or is the 8z under the radical too?

amistre64 · Answer

sqrt(7x^6 y^3)
------------- ??  or is the 8z included in the sqrt?
         8z

anonymous · Answer

just like you wrote it that is what it looks like with the line underneath it..

amistre64 · Answer

and I take it they want this to be simplified?

anonymous · Answer

yes

amistre64 · Answer

$$\frac{\sqrt{7x^6y^3}}{8z} \rightarrow \frac{x^2 y  \sqrt{7y}}{8z}$$

amistre64 · Answer

or the other possibility is this....

amistre64 · Answer

$$\sqrt{\frac{7x^6y^3}{8z}} \rightarrow \frac{x^2y \sqrt{7y}}{2\sqrt{2z}}$$

amistre64 · Answer

it all depends on if the 8z is a part of the square root; or simply under it

anonymous · Answer

I think it's under it. The answer in the book is $$x ^{3}y \sqrt{14yz}$$ and under it is 4z

anonymous · Answer

just not sure on how they got it...

amistre64 · Answer

its a part of it then.....  and I typoed that first x; its x^3 ; then they do something called rationalizing the denom becasue they hate to see radicals in the bottom of a fraction

amistre64 · Answer

it goes like this:

$$\frac{7^{1/2}x^{6/2}y^{3/2}}{8^{1/2}z^{1/2}} \rightarrow \frac{x^3 y \sqrt{7y}}{2 \sqrt{2z}} \rightarrow \frac{x^3y \sqrt{7y*2z}}{2} \rightarrow \frac{x^3y \sqrt{14yz}}{2}$$

amistre64 · Answer

the 4z under would be odd

anonymous · Answer

oh okay that makes sense :) Thank you

amistre64 · Answer

lol.... I just got why 4z is on the bottom :)  I forgot a step .....

amistre64 · Answer

2 * sqrt(2z) * sqrt(2z) = 2*2z = 4z lol

anonymous · Answer

lol it's okay thanks for your help