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Mathematics 21 Online
OpenStudy (anonymous):

quick adv algebra question

OpenStudy (anonymous):

\[\sqrt[5]{1215}= ?\]

OpenStudy (anonymous):

4.139

OpenStudy (anonymous):

thanks i know what the decimal is i need someone to EXPLAIN to me step by step reduction to RADICAL form

OpenStudy (michele_laino):

hint: \[\large 1215 = {3^5} \times 5\]

OpenStudy (michele_laino):

since: \[1215 = 135 \times 9 = 15 \times 9 \times 9 = 3 \times 5 \times 9 \times 9\]

OpenStudy (anonymous):

Applying the hint given above you can pull out a three from the radical. Thus simplifying it to\[3\sqrt{5}\]

OpenStudy (michele_laino):

better is: \[\large 3\sqrt[5]{5}\]

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