document.write( "Question 91333: I need some help understanding how to do these problems.\r
\n" ); document.write( "\n" ); document.write( "Simplify: 2 square root of 12+ 4 square root of 27\r
\n" ); document.write( "\n" ); document.write( "and simplify: square root of 20 over 5 - 1 over square root of 5\r
\n" ); document.write( "\n" ); document.write( "thanks a million \n" ); document.write( "

Algebra.Com's Answer #66311 by tutor_paul(519) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2sqrt%2812%29%2B4sqrt%2827%29\"$
\n" ); document.write( "Another way to write this is as follows:
\n" ); document.write( " $\"2sqrt%282%5E2%2A3%29%2B4sqrt%283%5E2%2A3%29\"$
\n" ); document.write( "Now, apply this property:
\n" ); document.write( " $\"sqrt%28x%5E2%29=x\"$
\n" ); document.write( "This gives you:
\n" ); document.write( " $\"2%2A2sqrt%283%29%2B4%2A3sqrt%283%29\"$
\n" ); document.write( "Simplifying:
\n" ); document.write( " $\"4sqrt%283%29%2B12sqrt%283%29\"$
\n" ); document.write( "Now that each term is the square root of the same thing, they can be combined:
\n" ); document.write( " $\"highlight%2816sqrt%283%29%29\"$
\n" ); document.write( "================================================
\n" ); document.write( " $\"%28sqrt%2820%29%2F5%29-%281%2Fsqrt%285%29%29\"$
\n" ); document.write( " $\"%28sqrt%282%2A2%2A5%29%2F5%29-%281%2Fsqrt%285%29%29\"$
\n" ); document.write( "Rationalize the denominator of the second term:
\n" ); document.write( " $\"%282sqrt%285%29%2F5%29-%28sqrt%285%29%2F5%29\"$
\n" ); document.write( "Now perform the subtraction and you are done:
\n" ); document.write( " $\"highlight%28sqrt%285%29%2F5%29\"$
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( "

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