document.write( "Question 74302This question is from textbook Beginning Algebra
\n" ); document.write( ": Simplify each radical expression.
\n" ); document.write( " $\"%28sqrt%283%29%2B5%29%28sqrt%283%29-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "I am having difficulty simplifying radical expressions and need some additional help and understanding on how to do these. Thanks \n" ); document.write( "

Algebra.Com's Answer #53290 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28sqrt%283%29%2B5%29%28sqrt%283%29-3%29\"$
\n" ); document.write( " $\"sqrt%283%29%2Asqrt%283%29-3%2Asqrt%283%29%2B5%2Asqrt%283%29-15\"$
\n" ); document.write( " $\"3-3%2Asqrt%283%29%2B5%2Asqrt%283%29-15\"$ Since $\"sqrt%283%29%2Asqrt%283%29\"$ is the same as $\"%28sqrt%283%29%29%5E2\"$ we can say that $\"sqrt%283%29%2Asqrt%283%29=3\"$
\n" ); document.write( " $\"3%2B%28-3%2B5%29%2Asqrt%283%29-15\"$ Add like terms. In this case $\"sqrt%283%29\"$ is the common term. If we let $\"x=sqrt%283%29\"$ the it looks like $\"-3x%2B5x=%28-3%2B5%29x=2x\"$
\n" ); document.write( " $\"3%2B2%2Asqrt%283%29-15\"$ Finally add -15 to 3
\n" ); document.write( " $\"2%2Asqrt%283%29-12\"$ There's your simplified answer
\n" ); document.write( "

\n" ); document.write( "Check:
\n" ); document.write( " $\"%28sqrt%283%29%2B5%29%28sqrt%283%29-3%29\"$ Numerically evaluate the given expression
\n" ); document.write( " $\"%281.73%2B5%29%281.73-3%29\"$
\n" ); document.write( " $\"%286.73%29%28-1.268%29\"$
\n" ); document.write( " $\"-8.536\"$
\n" ); document.write( " $\"2%2Asqrt%283%29-12\"$
\n" ); document.write( " $\"2%281.73%29-12\"$
\n" ); document.write( " $\"3.464-12\"$
\n" ); document.write( " $\"-8.536\"$ This shows that our simplified answer works. \n" ); document.write( "

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