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OpenStudy (ciel21):
the answer is
i dont know it CX sorry
OpenStudy (cggurumanjunath):
?
OpenStudy (ciel21):
i was trolling -_-
OpenStudy (cggurumanjunath):
hey ! who deleted my comment here ?
OpenStudy (anonymous):
Do you mean \(\sqrt[3]{64a^{16}}\) ?
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OpenStudy (mathstudent55):
Look at 64 and write is as a prime number raised to a power.
OpenStudy (mathstudent55):
\(\sqrt[3]{64a^{16}} \)
\(= \sqrt{2^{6} \times a^{16}} \)
Now keep in mind that the third power, cube, and cubic root are opposites.
OpenStudy (ciel21):
i do not know of this....WIZARDRY!!!
OpenStudy (mathstudent55):
Since cubing and taking the cubic root are opposites, you get this.
\( \sqrt{a^3} = a\)
Back to your problem:
\(\sqrt{64 a^{16}} \)
\(=\sqrt{2^6 \times a^{16}} \)
\(=\sqrt{2^3 \times 2^3 \times a^3 \times a^3 \times a^3 \times a^3 \times a^3 \times a} \)
\(= 2 \times 2 \times a \times a \times a \times a \times a \times \sqrt{a} \)
\(= 4a^5 \sqrt{a} \)
OpenStudy (ciel21):
im clueless...
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