document.write( "Question 320018: Summarize the guidelines to follow when simplifying radical expressions. \n" ); document.write( "
| Algebra.Com's Answer #229259 by Cathy11(2)      You can put this solution on YOUR website! Simplest form of a radical has no radicals in the denominator (the bottom part of a fraction0. The radicand (what's inside that square root sign - what you are finding the square root of) can have no decimals or fractions. \r \n" ); document.write( "\n" ); document.write( "To simplify a radical: \n" ); document.write( "Reduce powers \n" ); document.write( "Rationalize denominators\r \n" ); document.write( "\n" ); document.write( "To rationalize a monomial denominator, multiply the numerator and denominator by the radical \n" ); document.write( "(√5)/(√3) so multiply by √3/√3 to get (√15)/3\r \n" ); document.write( "\n" ); document.write( "If you have a monomial denominator such as 4 + √8 multiply by the conjugate 4 - √8. Foil to get 16 - 4√8 + 4√8 - 8 which is just 8. \n" ); document.write( " |