Find the exact value of the radical expression in simplest form.
c times the square root of c + 12 times c times the square root of c − 2 times c times the square root of c
11c
c times the square root of c
11 times c times the square root of c
11 the square root of c
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OpenStudy (phi):
can you use the equation editor ?
OpenStudy (anonymous):
How would I do that? lol
OpenStudy (anonymous):
nvrm lol
OpenStudy (phi):
use the button in the lower left
OpenStudy (anonymous):
I don't know how to do this....I can try to draw it?
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OpenStudy (phi):
\[c \sqrt{c}+ 12c \sqrt{c}-2c \sqrt{c}\]
OpenStudy (anonymous):
|dw:1374511123899:dw|
OpenStudy (phi):
try factoring out c sqrt(c) from each term
what do you get ?
OpenStudy (anonymous):
one sec, I'm a visual learner so I write it all down
OpenStudy (anonymous):
would you combine all of the c's?
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OpenStudy (anonymous):
@phi
OpenStudy (phi):
factor means "undo distribution"
if you had (x + 2x + 3x) and factor out x you get
x(1+2+3)
if you "distribute" the x, you get x+2x+3x which is what you started with
another example:
(x y + 3 xy)
factor out x and y: xy(1 + 3)