document.write( "Question 487734: How would you put this into radical form: (8x)2/3.\r
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Algebra.Com's Answer #852364 by ikleyn(52875)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "The solution and the answer  \"root%283%2Cx%5E2%29\"  in the post by @Theo both are incorrect.\r
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\n" ); document.write( "\n" ); document.write( "The correct answer is   \"4%2Aroot%283%2Cx%5E2%29\".\r
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\n" ); document.write( "\n" ); document.write( "Indeed,  you can consider  (8x)^(2/3)  as the square of the cube root of  (8x)^(1/3).\r
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\n" ); document.write( "\n" ); document.write( "Doing this way, you will get   \"%28root%283%2C8x%29%29%5E2\" = \"%282%2Aroot%283%2Cx%29%29%5E2\" = \"4%2Aroot%283%2Cx%5E2%29\".\r
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\n" ); document.write( "\n" ); document.write( "Alternatively,  you can consider  (8x)^(2/3)  as the cube root of  (8x)^2 = 64x^2.\r
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\n" ); document.write( "\n" ); document.write( "Doing this way,  you will get   \"root%283%2C64x%5E2%29\" = \"4%2Aroot%283%2Cx%5E2%29\".\r
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\n" ); document.write( "\n" ); document.write( "Thus,  either way leads to the same answer   \"4%2Aroot%283%2Cx%5E2%29\".\r
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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