document.write( "Question 59689: (rs) radical sign\r
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document.write( "simplify\r
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document.write( "(rs)75a^2/(rs)5 \n" );
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Algebra.Com's Answer #40940 by chitra(359)![]() ![]() You can put this solution on YOUR website! The given expression is: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rs(75 a^2)/ rs(5) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "75 can be written as 25 * 3 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> rs(25 * 3 * a^2)/rs(5) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> [rs(25) * rs(3 * a^2)]/ rs(5) {splitting of the radicals}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> [5 * rs(3) * rs(a^2)]/ rs(5) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "{splitting of the radicals and rs(25) = 5}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> [5 * rs (3) * a ]/ rs(5) {rs(a^2) = a}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 5a* rs(3)/ rs(5) \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "We know that 5 can be written as - rs(5)* rs(5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the above expression can be further simplified as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> [rs(5) * rs(5)* a * rs(3)]/ rs(5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> [rs(5)* a * rs(3)] \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "{rs(5) gets cancelled both in the numerator and denominator}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> rs(15) * a {By Multiplying radicals} \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> rs(15) * a\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "is the solution to the given problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regards, \n" ); document.write( "Chitra \n" ); document.write( " |