document.write( "Question 142360: Simplify \"sqrt%283%29%2Fsqrt%288%29\" \n" ); document.write( "
Algebra.Com's Answer #103630 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%283%29%2Fsqrt%288%29\" Start with the given expression\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%283%29%2Fsqrt%288%29%29%28sqrt%288%29%2Fsqrt%288%29%29\" Multiply both the numerator and denominator by \"sqrt%288%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%283%29sqrt%288%29%29%2F%28sqrt%288%29sqrt%288%29%29\" Combine the fractions\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283%2A8%29%2Fsqrt%288%2A8%29\" Combine the square roots. Remember \"sqrt%28x%29%2Asqrt%28y%29=sqrt%28x%2Ay%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%2824%29%2Fsqrt%2864%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%2824%29%2F8\" Take the square root of 64 to get 8\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%284%2A6%29%2F8\" Factor 24 into 4*6
\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%284%29%2Asqrt%286%29%29%2F8\" Break up the square roots using the identity \"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"
\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282%2Asqrt%286%29%29%2F8\" Take the square root of the perfect square 4 to get 2 \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281%2Asqrt%286%29%29%2F4\" Reduce \"2%2F8\" to get \"1%2F4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%286%29%2F4\" Simplify
\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the expression \"sqrt%283%29%2Fsqrt%288%29\" simplifies to \"sqrt%286%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );