document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134201>Question 1134201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Take a factor out of the square root:<BR>\n" );
document.write( "48x^2 , where x≤0<BR>\n" );
document.write( "Answer?<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 #751507 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i'm not exactly sure waht you're looking for her.\r<BR>\n" );
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document.write( "if you take the square root of (48x^2), then that could be shown as:\r<BR>\n" );
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document.write( "sqrt(48 * x^2) = sqrt(48) * sqrt(x^2) = sqrt(3 * 16) * sqrt(x^2) = sqrt(3) * sqrt(16) * sqrt(x^2) = sqrt(3) * 4 * |x|.\r<BR>\n" );
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document.write( "your final simplified answer would be sqrt(3) * 4 * |x|.\r<BR>\n" );
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document.write( "x can be any real value.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "when x = -5, sqrt (48 * x^2) = sqrt(48 * 25) = sqrt(1200) = 34.64101615.\r<BR>\n" );
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document.write( "sqrt(3) * 4 * |x| = sqrt(3) * 4 * |-5| = sqrt(3) * 4 * 5 = 34.64101615.\r<BR>\n" );
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document.write( "something to keep in mind.\r<BR>\n" );
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document.write( "if x^2 = 25, then x = plus or minus 25, but sqrt(25) is always equal to 5 and not -5.\r<BR>\n" );
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document.write( "here's a reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.physicsforums.com/threads/a-proof-for-sqrt-x-2-x.316896/\" target \"_blank\">https://www.physicsforums.com/threads/a-proof-for-sqrt-x-2-x.316896/</a>\r<BR>\n" );
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document.write( "here's another reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://socratic.org/questions/what-is-the-square-root-of-x-squared\" target = \"_blank\">https://socratic.org/questions/what-is-the-square-root-of-x-squared</a>\r<BR>\n" );
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document.write( "here's another reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathsisfun.com/algebra/square-root.html\" target = \"_blank\">https://www.mathsisfun.com/algebra/square-root.html</a>\r<BR>\n" );
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