document.write( "Question 1061724: can someone help me simplify 5√-32/5√243 please not sure how to.\r
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document.write( "thank you in advance really grateful \n" );
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Algebra.Com's Answer #676481 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! I am assuming the problem is 5*sqrt(-32)/5* sqrt (243). Cancel the 5 right away \n" ); document.write( "The numerator is i sqrt(32), but sqrt (32)=sqrt (16)*sqrt (2)=4 sqrt (2) \n" ); document.write( "4i sqrt (2) \n" ); document.write( "divided by sqrt (243) \n" ); document.write( "243=3^5 \n" ); document.write( "Therefore sqrt (3^5) is sqrt (3*3*3*3*3)=3*3*sqrt (3)=9 sqrt (3) \n" ); document.write( "The answer is \n" ); document.write( "4i sqrt (2)/9 sqrt (3) \n" ); document.write( "rationalize the denominator by multiplying top and bottom by sqrt (3) \n" ); document.write( "4i sqrt(6)/9*3 \n" ); document.write( "4i sqrt (6)/27 \n" ); document.write( " |