document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135422>Question 135422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tutor:  How do Isubtract and simplify 5 square root of 20 minus 2 square root of 125? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99215 by </B><A HREF=/tutors/aboutme.mpl?userid=nycsharkman><B>nycsharkman(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nycsharkman><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=99215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I subtract and simplify 5 square root of 20 minus 2 square root of 125?\r<BR>\n" );
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document.write( "5(sqrt{20}) - 2(sqrt{125})\r<BR>\n" );
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document.write( "You need to simplify the square roots individually.\r<BR>\n" );
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document.write( "For each square root, look for two numbers that, when multiplied, will yield the number inside the radicand.  However, one of the factors has to be a perfect square.\r<BR>\n" );
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document.write( "sqrt{20} = sqrt{4} times sqrt{5}\r<BR>\n" );
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document.write( "The square root of 4 is a perfect square because 2 times 2 = 4.\r<BR>\n" );
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document.write( "Then, the square root of 4 = 2.\r<BR>\n" );
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document.write( "The square root of 5 is NOT a perfect square and it is also in lowest term.<BR>\n" );
document.write( "So, leave it alone.\r<BR>\n" );
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document.write( "sqrt{125} = sqrt{25} times sqrt{5}\r<BR>\n" );
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document.write( "The square root of 25 is 5 because 5 times 5 = 25.\r<BR>\n" );
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document.write( "Then, the square root of 25 is 5.\r<BR>\n" );
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document.write( "Again, the square root of 5 is NOT a perfect square and it is also in lowest term.  Leave it alone.\r<BR>\n" );
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document.write( "We now have this:\r<BR>\n" );
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document.write( "5(2)(sqrt{5}) - 2(5)(sqrt{5})\r<BR>\n" );
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document.write( "10(sqrt{5}) - 10(sqrt(5}) = 0\r<BR>\n" );
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document.write( "The answer is 0.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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