I need help with solving a problem that I have been trying to figure out for the last 5 hours
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Can I see the problem?
OpenStudy (saifoo.khan):
Lets Try.
OpenStudy (anonymous):
\[\sqrt[3]{1024}\]
OpenStudy (anonymous):
8\[\sqrt[3]{2}\] is not the answer
OpenStudy (anonymous):
\[1024=2^{10}\]
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (saifoo.khan):
is it 8 or three?
OpenStudy (anonymous):
according to my answer key it states that the answer is \[4\sqrt[3]{16}\]
OpenStudy (anonymous):
You can still simplify that \[4 \sqrt[3]{2^4}\]
OpenStudy (anonymous):
so: \[4(2)\sqrt[3]{2}\]
OpenStudy (anonymous):
\[8\sqrt[3]{2}\]
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Does that answer you problem?
OpenStudy (anonymous):
not really Josephniel. I have never done cubic sqaures before so i will need to see the entire problem written out and answered with the correct answer.
OpenStudy (anonymous):
cubic roots I meant
OpenStudy (anonymous):
Okay. I'll show you the solution just for the sake of it
\[\sqrt[3]{1024}\] Since 1024 is \[ 2^{10} \], we have:
\[\sqrt[3]{2^{10}}\] To simplify, since the index is 3, we will divide the exponent to the index. So it's like:
\[\ 2^{10/3} \] Doing the operation, we have:
\[\ 2^3 * 2^{1/3} \] If your exponent is a fraction, the denominator will serve as the index for your radical sign and the numerator as the exponent for the radicand
So, we'll have:
\[2^3\sqrt[3]{2}\]
\[8\sqrt[3]{2}\]
OpenStudy (anonymous):
The answer in your answer sheet is also right. it's just that the answer is not fully simplified.
Still Need Help?
Join the QuestionCove community and study together with friends!