document.write( "Question 970671: The cube root of (12 times the square root of 12)
\n" ); document.write( "\"root%283%2C12sqrt%2812%29%29\"
\n" ); document.write( "

Algebra.Com's Answer #593298 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "The other tutor only gave you an approximate decimal solution using\r\n" );
document.write( "a calculator.  That's not what your teacher wants.  Your teacher wants\r\n" );
document.write( "an exact answer.  Here's the way to do it using fraction exponents:\r\n" );
document.write( "\r\n" );
document.write( "\"root%283%2C12sqrt%2812%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Write both 12's as 22·3\r\n" );
document.write( "\r\n" );
document.write( "\"root%283%2C2%5E2%2A3sqrt%282%5E2%2A3%29%29\"  \r\n" );
document.write( "\r\n" );
document.write( "Write the square root as the \"1%2F2\" power\r\n" );
document.write( "and the cube root as the \"1%2F3\" power:\r\n" );
document.write( "\r\n" );
document.write( "\"%282%5E2%2A3%2A%282%5E2%2A3%29%5E%281%2F2%29%29%5E%281%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "Make everything have an exponent by giving a 1 exponent\r\n" );
document.write( "to whatever doesn't have an exponent showing:\r\n" );
document.write( "\r\n" );
document.write( "\"%282%5E2%2A3%5E1%2A%282%5E2%2A3%5E1%29%5E%281%2F2%29%29%5E%281%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "Remove the inner parentheses by multiplying exponents:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"%28++2%5E2%2A3%5E1%2A2%5E1+%2A3%5E%281%2F2%29+++%29%5E%281%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "Add the exponents of 2 and the exponents of 3\r\n" );
document.write( "\r\n" );
document.write( "\"%28++2%5E3%2A3%5E%281%261%2F2%29+++%29%5E%281%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "Change mixed number exponent \"1%261%2F2\" to \"3%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28++2%5E3%2A3%5E%283%2F2%29+++%29%5E%281%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "Remove the remaining parentheses by multiplying exponents:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%282%2C1%2C%22%22%2C%0D%0A2%5E1%2A3%5E%281%2F2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Erase the 1 exponent and change the \"1%2F2\" exponent to a square root\r\n" );
document.write( "\r\n" );
document.write( "\"2%2Asqrt%283%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );