document.write( "Question 852522: Kurt says that you can take the square root of each side of an equation. Therefore, he says that (x+2)^2+(y-5)^2=36 and (x+2)+(y-5)=6 are equivalent equations. Dana says they are NOT. Who is right? Explain your answer. \n" ); document.write( "

Algebra.Com's Answer #513486 by Fombitz(32388) $\"\"$ $\"About$

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Dana is correct.
\n" ); document.write( " $\"3%2B2=5\"$
\n" ); document.write( "According to Kurt,
\n" ); document.write( " $\"3%5E2%2B2%5E2=5%5E2\"$
\n" ); document.write( " $\"9%2B4=25\"$
\n" ); document.write( "Oops that's not right.
\n" ); document.write( "There are additional terms,
\n" ); document.write( ".
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\n" ); document.write( "Now the right way,
\n" ); document.write( " $\"3%2B2=5\"$
\n" ); document.write( "Square both sides.
\n" ); document.write( " $\"%283%2B2%29%283%2B2%29=5%2A5\"$
\n" ); document.write( "Using the FOIL method,
\n" ); document.write( " $\"3%2A3%2B3%2A2%2B2%2A3%2B2%2A2=5%2A5\"$
\n" ); document.write( " $\"9%2B6%2B6%2B4=25\"$
\n" ); document.write( " $\"25=25\"$
\n" ); document.write( " \n" ); document.write( "

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