document.write( "Question 135422: Tutor: How do Isubtract and simplify 5 square root of 20 minus 2 square root of 125? \n" ); document.write( "

Algebra.Com's Answer #99216 by Earlsdon(6294) $\"\"$ $\"About$

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Simplify:
\n" ); document.write( " $\"5%2Asqrt%2820%29-2%2Asqrt%28125%29\"$
\n" ); document.write( "The key here is to factor the radicand (the quantity under the radical), then, if any of these factors are perfect squares, take their square root and move the result outside of the radical.
\n" ); document.write( " $\"5%2Asqrt%2820%29-2%2Asqrt%28125%29+=+5%2Asqrt%284%2A5%29-2sqrt%2825%2A5%29\"$ Rewrite this as:
\n" ); document.write( " $\"5%2Asqrt%282%5E2%2A5%29-2sqrt%285%5E2%2A5%29\"$ Take the square roots of the squares and move them outside.
\n" ); document.write( " $\"5%2A2sqrt%285%29-2%2A5sqrt%285%29+=+10sqrt%285%29-10sqrt%285%29\"$ = 0 \n" ); document.write( "

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