document.write( "Question 651607: hi!! please help me i already answered it but I'm just checking if my answer is correct because I'm not sure of my answers. hope you can help me. \r
\n" ); document.write( "\n" ); document.write( "1) 4√10/3 a^3b^5 multiplied by 4√24a^2b^3 ( the 4 is suppose to be small like an exponent.)\r
\n" ); document.write( "\n" ); document.write( "( rationalizing denominator)
\n" ); document.write( "1) (√7 – 3) / (√7 + 2)
\n" ); document.write( "2) (2√3) / (2√3 - 3√2)
\n" ); document.write( "3) (2√2 - 3√7) / (3√2 +2√7)
\n" ); document.write( "3) (5√3 -4√5) / (2√5 +3√3)
\n" ); document.write( " this is in fraction form! the one that are in radical sign please dont get the radical of it if it has a decimal!!
\n" ); document.write( "please show the solution!1 thanks :))
\n" ); document.write( "

Algebra.Com's Answer #407739 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1) 4√10/3 a^3b^5 multiplied by 4√24a^2b^3 ( the 4 is suppose to be small like an exponent.)
\n" ); document.write( "-----
\n" ); document.write( "= 4th root[(10/3 *24)a^5b^8]
\n" ); document.write( "---
\n" ); document.write( "= 4th root[80*a^5b^8]
\n" ); document.write( "---
\n" ); document.write( "= 4th root[16b^8]*4th root[5a^5]
\n" ); document.write( "----
\n" ); document.write( "= 2b*4th root[5a^5]
\n" ); document.write( "============================================
\n" ); document.write( "
\n" ); document.write( "( rationalizing denominator)
\n" ); document.write( "1) (√7 – 3) / (√7 + 2)
\n" ); document.write( "----
\n" ); document.write( "= [(sqrt(7)-sqrt(3))(sqrt(7)-sqrt(2))] / [sqrt(7)+2))(sqrt(7)-sqrt(2)]
\n" ); document.write( "-----
\n" ); document.write( "= [7-sqrt(14)-sqrt(21)+sqrt(6)] / [7-2]
\n" ); document.write( "etc.
\n" ); document.write( "============================
\n" ); document.write( "2) (2√3) / (2√3 - 3√2)
\n" ); document.write( "----
\n" ); document.write( "[2sqrt(3)*(2sqrt(3 + 3sqrt(2))] / [(2sqrt(3)-3sqrt(2))(2sqrt(3)+3sqrt(2)]
\n" ); document.write( "---------
\n" ); document.write( "= [4*3+6sqrt(6)] / [4*3-9*2]
\n" ); document.write( "etc.
\n" ); document.write( "=============
\n" ); document.write( "I'll leave the others to you.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "3) (2√2 - 3√7) / (3√2 +2√7)
\n" ); document.write( "3) (5√3 -4√5) / (2√5 +3√3)
\n" ); document.write( "this is in fraction form! the one that are in radical sign please dont get the radical of it if it has a decimal!!
\n" ); document.write( "please show the solution!
\n" ); document.write( "
\n" );