document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178166>Question 178166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Would someone help me to understand this....Thanks \r<BR>\n" );
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document.write( "4 sqrt[50]+sqrt[32]-sqrt[18]\r<BR>\n" );
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document.write( "I got 4[5]+[4]-[6] not sure if that's right or not.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133129 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5 \times 5 = 25\"> not 50, so certainly <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5 \neq sqrt(50)\">\r<BR>\n" );
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document.write( "Similarly, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4 \times 4 = 16\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 6 \times 6 = 36\">, so the rest of your expression is incorrect as well.\r<BR>\n" );
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document.write( "You need to use the following rule:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large sqrt{xy} = (sqrt {x} )(sqrt {y})\">\r<BR>\n" );
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document.write( "Note that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 50 = 25 \times 2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 32 = 16 \times 2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 18 = 9 \times 2\">\r<BR>\n" );
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document.write( "So we can re-write your original expression as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4 sqrt{50} + sqrt{32} - sqrt {18} = 4 sqrt{25}sqrt{2} + sqrt{16}sqrt{2} - sqrt{9}sqrt{2}\"> \r<BR>\n" );
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document.write( "Since: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large sqrt{25} = 5 \text{, }\math sqrt{16} = 4 \text{,and }\math sqrt{9} = 3\">, we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large  4 * 5 sqrt{2} + 4 sqrt{2} - 3 sqrt{2}\"> \r<BR>\n" );
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document.write( "Lastly, factor out the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large sqrt{2}\"> to obtain:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (20 + 4 - 3)sqrt{2} = 21 sqrt {2}\">\r<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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