Mathematics
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OpenStudy (anonymous):
CUBEROOT(-16a^3b^8)
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OpenStudy (anonymous):
\[\sqrt[3]{-16a^3b^8}\]
OpenStudy (anonymous):
Is it simplified to
a * CUBEROOT(-16b^8) ? or in equation form
\[a*\sqrt[3]{-16b^8}\]
OpenStudy (akshay_budhkar):
\[2ab^2\sqrt[3]{2b^2}\]
OpenStudy (anonymous):
care to explain?
OpenStudy (akshay_budhkar):
i just simplified it further by writing 16 as 2 * 8 ( cube root of 8 is 2) similarly writing b^8 as b^2 *b^6 ( cube root of b^6 is b^2)
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OpenStudy (akshay_budhkar):
are u still confused?
OpenStudy (anonymous):
lemme think for a second
OpenStudy (akshay_budhkar):
sure its easy ..
OpenStudy (anonymous):
that makes me feel better...
OpenStudy (anonymous):
and then you just took the a out right?
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OpenStudy (anonymous):
will you give me a practice one to see if i can get it right?
OpenStudy (akshay_budhkar):
yes i just took it out right
OpenStudy (akshay_budhkar):
ok i will give u a question
OpenStudy (akshay_budhkar):
\[\sqrt[3]{48a^6b^5}\]
OpenStudy (anonymous):
4a^2b * cuberoot(3b^2)
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OpenStudy (akshay_budhkar):
your variables a and b are correct, but there seems to be a problem in your constant.. look again and think with a cool mind
OpenStudy (anonymous):
Oops i see where i messed up
OpenStudy (akshay_budhkar):
lol its good to realize your mistakes :)
OpenStudy (anonymous):
very true
OpenStudy (akshay_budhkar):
so correct yourself
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OpenStudy (anonymous):
2 is the outside coefficient, and 6 is the inside coefficient
OpenStudy (akshay_budhkar):
yup correct :D you got it :)
OpenStudy (anonymous):
yay, thanks for your help
OpenStudy (akshay_budhkar):
my pleasure :D