document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213597>Question 213597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the answer to this problem? i have gotten stuck.<BR>\n" );
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document.write( "the square root of two thirds and the square root of three fourths.<BR>\n" );
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document.write( "sorry i forgot to say i needed it simplified.<BR>\n" );
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document.write( "studying for a chapter test tomorrow. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161393 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt (2/3),,,,,,,sqrt (3/4)<BR>\n" );
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document.write( "to  simplify (reduce)  we  factor,  but  with  perfect  squares(1,4,9,16,25,36,49,etc)<BR>\n" );
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document.write( "Let's  do    sqrt (3/4)  first,,,<BR>\n" );
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document.write( "This  also  equals ,,,,(sqrt 3)/ (sqrt 4),,,,<BR>\n" );
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document.write( "the  sqrt  of  3  has  only  1 as  a potential  factor,  and  this  does not  help\r<BR>\n" );
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document.write( "The sqrt  of  4  has  4  as  a  perfect  square (2*2),  and  can  be  simplified<BR>\n" );
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document.write( "To  (sqrt 3)/ (2),,,  (just  2,,  no  sqrt),,,so<BR>\n" );
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document.write( "sqrt(3/4) = (sqrt 3) /2 = (1/2) sqrt 3<BR>\n" );
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document.write( "checking  with  a  calc,  sqrt(3/4) = .866,,,,1/2 sqrt3=.866,,,,ok<BR>\n" );
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document.write( "Returning  to  sqrt(2/3),   there  are  no  perfect  square  factors  that  will  help,  so  this  is  in  simplified  form already.<BR>\n" );
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document.write( "sqrt(2/3) = sqrt .667 = .816<BR>\n" );
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document.write( "a  Better  example  might  be  sqrt50 = sqrt(25*2)= sqrt25 * sqrt2= 5sqrt2<BR>\n" );
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document.write( "or  sqrt 200 = sqrt(100*2) = sqrt(100) * sqrt2 = 10sqrt2<BR>\n" );
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