document.write( "Question 309658: I need to find the exact answer and simplify it using the rules for radicals.\r
\n" ); document.write( "\n" ); document.write( "Diagonal of a patio. Find the length of the diagonal of a
\n" ); document.write( "square patio with an area of 40 square meters.\r
\n" ); document.write( "\n" ); document.write( "Basic facts:\r
\n" ); document.write( "\n" ); document.write( "1. Area of a square = side2\r
\n" ); document.write( "\n" ); document.write( "2. Diagonal of a square = √2*side2
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Algebra.Com's Answer #221460 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
x^2=40
\n" ); document.write( "x=sqrt40
\n" ); document.write( "x=6.325 ans. for the length of the sides.
\n" ); document.write( "s^2+s^2=d^2
\n" ); document.write( "2s^2=d^2
\n" ); document.write( "2*6.325^2=d^2
\n" ); document.write( "2*40=d^2
\n" ); document.write( "80=d^2
\n" ); document.write( "d=sqrt80
\n" ); document.write( "d=8.945 ans. for the diagonal of the square.
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