Mathematics
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OpenStudy (imsleeziboii):
Simplify ^3 sqrt 432
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OpenStudy (imsleeziboii):
@ParthKohli
OpenStudy (anonymous):
can you repeat the question
OpenStudy (imsleeziboii):
simplify \[^{3}\]\[^{3}\sqrt{432}\]
OpenStudy (imsleeziboii):
forget the first ^3
OpenStudy (anonymous):
oh ok do you have a calculator?
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OpenStudy (imsleeziboii):
no i dont.
563blackghost (563blackghost):
Is this multiple choice?
OpenStudy (imsleeziboii):
yes
OpenStudy (imsleeziboii):
A.\[^{3}\sqrt{432}\]
B.\[2^{3}\sqrt{54}\]
C.\[3^{3}\sqrt{16}\]
D.\[6^{3}\sqrt{2}\]
OpenStudy (anonymous):
ohhh so then it would be D
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563blackghost (563blackghost):
please explain why ^^
OpenStudy (imsleeziboii):
Are you sure?
OpenStudy (anonymous):
cuz \[\sqrt[3]{432} = \sqrt[3]{256 \times 2} = 6 \times \sqrt[3]{2}\]
OpenStudy (anonymous):
you can't simplify 2 any more but the other answers you can
OpenStudy (imsleeziboii):
Can you help me with one more?
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OpenStudy (anonymous):
yeah
OpenStudy (imsleeziboii):
Okay
OpenStudy (imsleeziboii):
Which is equivalent to \[^{3}\sqrt{27x ^{6}}\] it has been simplified completely?
OpenStudy (imsleeziboii):
A. 3x^2
B. 3x^3
C. 9x^2
D. 9x^3
OpenStudy (anonymous):
B is the answer
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OpenStudy (imsleeziboii):
Thanks
OpenStudy (anonymous):
you take the cube root of 27 and the cube root of x^6
you get 3 * x^3
OpenStudy (imsleeziboii):
Can you help one more time?
OpenStudy (imsleeziboii):
Rewrite the radicand as two factors, one of which is a perfect cube.
OpenStudy (imsleeziboii):
\[3\sqrt{250}\]