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Mathematics 18 Online
OpenStudy (lifeisadangerousgame):

@ganeshie8 Hey again XD I started off doing this problem and I'm confused on how to finish it..

OpenStudy (lifeisadangerousgame):

OpenStudy (lifeisadangerousgame):

I multiplied like terms, yada yada yada so now I have 12\[12\sqrt{224x ^{10}y ^{8}}\]

ganeshie8 (ganeshie8):

\(\large 12\sqrt{224x ^{10}y ^{8}} \)

ganeshie8 (ganeshie8):

\(\large 12 \sqrt {16 \times 14 x ^{10}y ^{8}} \)

ganeshie8 (ganeshie8):

\(\large 12 \sqrt {4^2\times 14 x ^{10}y ^{8}} \)

ganeshie8 (ganeshie8):

\(\large 12 \sqrt {4^2\times 14 (x ^{5})^2(y ^{4})^2} \)

ganeshie8 (ganeshie8):

fine so far ? :)

OpenStudy (lifeisadangerousgame):

Yes!:D

ganeshie8 (ganeshie8):

\(\large 12 \sqrt {14 (4x ^{5}y^4)^2} \)

ganeshie8 (ganeshie8):

wat about now ?

ganeshie8 (ganeshie8):

ive just grouped all square terms under one umbrella :)

OpenStudy (lifeisadangerousgame):

Ooh I get it, I couldn't figure out what happened to the 16 but 4^2 equals 16:3 :D I get it! Do we do anything to the 12 or is that coming up?

ganeshie8 (ganeshie8):

good :) that square term inside radical, we can pull out \(\large 12 \times 4x^5y^4 \sqrt {14} \)

ganeshie8 (ganeshie8):

\(\large 48x^5y^4 \sqrt {14}\)

ganeshie8 (ganeshie8):

thats the final simplificaiton we can do

OpenStudy (lifeisadangerousgame):

So wait, if we were to do this backwards, would be square the 14 or just multiply it by everything and everything gets square rooted? (This has confused me for a while so I thought I'd just ask now)

ganeshie8 (ganeshie8):

good question :)

ganeshie8 (ganeshie8):

|dw:1381695893139:dw|

OpenStudy (lifeisadangerousgame):

(also, what happened to the ()^2 for the exponents?)

ganeshie8 (ganeshie8):

|dw:1381695912998:dw|

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