document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186279>Question 186279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could someone explain to me how i should siplify sqare roots as such;\r<BR>\n" );
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document.write( "2sqrt(3)+sqrt(27)-sqrt(1/3)\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "sqrt(1/2)*(sqrt(8)+sqrt(2))\r<BR>\n" );
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document.write( "or \r<BR>\n" );
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document.write( "sqrt(18)-sqrt(3)over sqrt(6)\r<BR>\n" );
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document.write( "and the last thing i need help in would be; sqrt(a)+sqrt(b) over sqrt(a)-sqrt(b)<BR>\n" );
document.write( "i totally suck when it comes to things like sqrt =(  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139647 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> could someone explain to me how i should siplify sqare roots as such; <BR>\n" );
document.write( "2sqrt(3)+sqrt(27)-sqrt(1/3)<BR>\n" );
document.write( "=2sqrt(3) + 3sqrt(3) - sqrt(1/2) <BR>\n" );
document.write( "see that?  sqrt(27) = sqrt(3*9) = sqrt(9)*sqrt(3) = 3sqrt(3)<BR>\n" );
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document.write( "Then, sqrt(1/3)= sqrt(3/9) = sqrt(3)/sqrt(9) = sqrt(3)/3  right?<BR>\n" );
document.write( "so it's 2sqrt(3) +3sqrt(3) - (1/3) sqrt(3)<BR>\n" );
document.write( "= (5 - 1/3)sqrt(3)<BR>\n" );
document.write( "= 14sqrt(3)/3<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "or <BR>\n" );
document.write( "sqrt(1/2)*(sqrt(8)+sqrt(2))<BR>\n" );
document.write( "Multiply the sqrt(1/2) thru<BR>\n" );
document.write( "=sqrt(1/2)*sqrt(8) + sqrt(1/2)*sqrt(2)<BR>\n" );
document.write( "=sqrt((1/2)*8) + sqrt((1/2)*2)<BR>\n" );
document.write( "=sqrt(4) + sqrt(1)<BR>\n" );
document.write( "= 2+1<BR>\n" );
document.write( "=3<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "or <BR>\n" );
document.write( "sqrt(18)-sqrt(3)over sqrt(6)<BR>\n" );
document.write( "Divide each term of the NUM<BR>\n" );
document.write( "=sqrt(18/6) - sqrt(3/6)<BR>\n" );
document.write( "=sqrt(3) - sqrt(1/2)<BR>\n" );
document.write( "=sqrt(3) - sqrt(2/4)<BR>\n" );
document.write( "=sqrt(3) - sqrt(2)/2<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "and the last thing i need help in would be; <BR>\n" );
document.write( "sqrt(a)+sqrt(b) over sqrt(a)-sqrt(b)<BR>\n" );
document.write( "The thing to do with these is to multiply thru by the conjugate of the DEN<BR>\n" );
document.write( "The conjugate of sqrt(a)-sqrt(b) is sqrt(a)+sqrt(b).  The same 2 terms with a different sign (+ instead of -).<BR>\n" );
document.write( "=(sqrt(a)+sqrt(b))*(sqrt(a)+sqrt(b))/(sqrt(a)-sqrt(b))*(sqrt(a)-sqrt(b))<BR>\n" );
document.write( "It can get messy.<BR>\n" );
document.write( "=(a + 2sqrt(ab) + b)/(a-b)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "email me with any questions via the thank you note. </SPAN>\n" );
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