document.write( "Question 672634: Root -200 / Root -18 Root 50
\n" ); document.write( "Question is to reduce it down to lowest point possible \n" ); document.write( "

Algebra.Com's Answer #418221 by DrBeeee(684) $\"\"$ $\"About$

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Given
\n" ); document.write( "(1) sqrt(-200)/(sqrt(-18)*sqrt(50)), (If it's other than this you can still solve it using two properties.)
\n" ); document.write( "To solve we use two powerful properties of radicals.
\n" ); document.write( "(2) sqrt(a)*sqrt(b) = sqrt(a*b) and
\n" ); document.write( "(3) sqrt(a)/sqrt(b) = sqrt(a/b)
\n" ); document.write( "Using (2) on the denominator of (1) we get
\n" ); document.write( "(4) sqrt(-18)*sqrt(50) = sqrt(-900)
\n" ); document.write( "Now apply (3) to the numerator of (1) and the new denominator given by (4) to get
\n" ); document.write( "(5) sqrt(-200)/sqrt(-900) = sqrt(-200/-900) or
\n" ); document.write( "(6) sqrt(2/9)
\n" ); document.write( "Now apply the reverse of (3) to (6) to get
\n" ); document.write( "(7) sqrt(2/9) = sqrt(2)/sqrt(9) or
\n" ); document.write( "the final answer is
\n" ); document.write( "(8) sqrt(2)/3 \n" ); document.write( "

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