document.write( "Question 371976: Multiply. √5 (√2-√11) \n" ); document.write( "

Algebra.Com's Answer #264977 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%285%29%28sqrt%282%29-sqrt%2811%29%29\"$
\n" ); document.write( "Just use the Distributive Property:
\n" ); document.write( " $\"sqrt%285%29%2Asqrt%282%29+-+sqrt%285%29%2Asqrt%2811%29\"$
\n" ); document.write( "To multiply square roots we use a property of all radicals: $\"root%28a%2C+p%29%2Aroot%28a%2C+q%29+=+root%28a%2C+p%2Aq%29\"$ :
\n" ); document.write( " $\"sqrt%285%2A2%29+-+sqrt%285%2A11%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"sqrt%2810%29-sqrt%2855%29\"$
\n" ); document.write( "Since neither square root has a perfect square factor (other than 1), they will not simplify any further. So this is the answer. \n" ); document.write( "

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