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Mathematics 18 Online
OpenStudy (anonymous):

^3 radical 64a^16

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 \(\sqrt[3]{64a^{16}}\) ?

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...

OpenStudy (ciel21):

im only in 7th grade

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