document.write( "Question 277236: What is the square root of 9y to the 6th power? \n" ); document.write( "

Algebra.Com's Answer #854141 by ikleyn(53742) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "What is the square root of 9y to the 6th power?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "@mananth in his post treats it as    $\"sqrt%289y%5E6%29\"$ , and gives the answer    $\"3y%5E3\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "@dabanfield in his post treats it as    $\"sqrt%28%289y%29%5E6%29\"$ , and gives the answer    $\"729y%5E3\"$ .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*******************************************\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                They both are incorrect.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "********************************************\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If to treat it as    $\"sqrt%289y%5E6%29\"$ , then the correct answer is    $\"3%2Aabs%28y%29%5E3\"$ with the use of the absolute value sign.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If to treat it as    $\"sqrt%28%289y%29%5E6%29\"$ , then the correct answer is    $\"729%2Aabs%28y%29%5E3\"$ with the use of the absolute value sign.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The error of the two other persons is that value ' y ' in the input formula can be negative.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then both other persons return the negative value of the square root, which contradicts
\n" ); document.write( "to the common agreement about the square root values.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My formula works universally for positive and negative values of ' y ' - - - it is why it is preferable
\n" ); document.write( "and why it is the uniquely correct form.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The problems of this kind are a standard TRAP to catch unprepared/undertrained novices.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );