document.write( "Question 176792: Solve √(r+4) +2 = r \n" ); document.write( "

Algebra.Com's Answer #131868 by Mathtut(3670) $\"\"$ $\"About$

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$\"sqrt%28r%2B4%29%2B2=r\"$
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\n" ); document.write( " $\"sqrt%28r%2B4%29=r-2\"$ subtracted 2 from both sides
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\n" ); document.write( " $\"sqrt%28r%2B4%29%5E2=%28r-2%29%5E2\"$ square both sides
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\n" ); document.write( " $\"r%2B4=r%5E2-4r%2B4\"$ carried out operations
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\n" ); document.write( " $\"r%5E2-5r=0\"$ combined terms all on one side
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\n" ); document.write( " $\"r%28r-5%29=0\"$
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\n" ); document.write( "r=0 and r=5
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\n" ); document.write( "at times one will get extraneous roots when a term is squared
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\n" ); document.write( "r=0 is one such root
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\n" ); document.write( "therefore the only solution is r=5
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