SIMPLIFY : square root of 27x^8y^5

Question

vijay · Answer

$$3y^2 x^4 \sqrt{3y}$$

anonymous · Answer

?

anonymous · Answer

can you explain how you got that please!

vijay · Answer

$$\sqrt{3*3^2*(x^4)^2*(y^2)^2*y}$$

anonymous · Answer

in words.... please

anonymous · Answer

from your final answer in words can you please explain what you did.. i am looking for explinations.

vijay · Answer

After that , when you square root them , power 2 will ignore by sqrt.

then 3 and y will be inside the sqrt ., others will come out.

anonymous · Answer

no i mean from the begining please!

anonymous · Answer

so looking at the equation what is the first step that i would taking in simplifying it?

preetha · Answer

I think what Vijay did was to break each term down into something x a square. So 27 is 3 x (3x3) or 3 x 3^2.  x^8 is x^4 squared.  And y^5 is y^4 x y.

vijay · Answer

Thanks preetha

preetha · Answer

Then you take the square root of this equation he has written out so nicely with the equation editor.  So if you have 3 x (3x3) the sq. root of that is sqrt 3 (3), sqrt of (x4)^2 is x^4 and sqrt of y(y^4) is sqrt y (y^2).

preetha · Answer

Then you put the three terms together.  Hope that helps.  I am just too lazy to use the equation editor.  Good job Vijay.

anonymous · Answer

hello?

vijay · Answer

yes

anonymous · Answer

nevermind i got it ! thanks.

but here is one :
twelve network printers can produce a set of documents in 20 hours. how long would it take 15 printers to get the same job done?  (the time is inversly proportional tot the # of printers used for job)

vijay · Answer

=(20/12) * 15

=25 hours

anonymous · Answer

why did you multiply by 15?

anonymous · Answer

the answer says 16 hrs... i am unsure how the book got that.

vijay · Answer

yes, 25 is wrong, wait i l do it

anonymous · Answer

i  got it.

15/12 = 20/x  15x= 12*20
15/240 = 16

vijay · Answer

yes, gud

anonymous · Answer

hey i just posted something do you know how to factor?