document.write( "Question 228591: Can someone please please help me with these questions. I am preparing for a quiz on Monday.\r
\n" ); document.write( "\n" ); document.write( "1) z sqrt 80zu^2 - u sqrt 5z^3\r
\n" ); document.write( "\n" ); document.write( "2) sqrt z +16 = sqrt 7z+12\r
\n" ); document.write( "\n" ); document.write( "3) sqrt -6w+16=w\r
\n" ); document.write( "\n" ); document.write( "4) sqrt 10+8 / -5 sqrt 10+1\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance
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Algebra.Com's Answer #169700 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1) \"z%2Asqrt%2880zu%5E2%29+-+u%2Asqrt%285z%5E3%29\"
\n" ); document.write( "Factor to reveal the perfect squares
\n" ); document.write( "\"z%2Asqrt%2816%2A5%2Az%2Au%5E2%29+-+u%2Asqrt%285%2Az%5E2%2Az%29\"
\n" ); document.write( "extract the squares and combine like terms
\n" ); document.write( "\"4uz%2Asqrt%285z%29+-+uz%2Asqrt%285z%29\" = \"3uz%2Asqrt%285z%29\"
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\n" ); document.write( "2) \"sqrt%28z%2B16%29+=+sqrt%287z%2B12%29\"
\n" ); document.write( "Square both sides:
\n" ); document.write( "z + 16 = 7z + 12
\n" ); document.write( "16 - 12 = 7z - z
\n" ); document.write( "4 = 6z
\n" ); document.write( "z = \"4%2F6\" = \"2%2F3\"
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\n" ); document.write( "3) \"sqrt%28-6w%2B16%29+=+w\"
\n" ); document.write( "square both sides
\n" ); document.write( "-6w + 16 = w^2
\n" ); document.write( "0 = w^2 + 6w - 16
\n" ); document.write( "Factors to:
\n" ); document.write( "(w+8)(w-2) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "w = -8
\n" ); document.write( "w = +2;
\n" ); document.write( "Check both solutions in the original equation (only one is valid)
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\n" ); document.write( "4) \"sqrt%2810%2B8%29%2F%28-5%2Asqrt%2810%2B1%29%29\" = \"sqrt%2818%29%2F%28-5%2Asqrt%2811%29%29\" = \"sqrt%289%2A2%29%2F%28-5%2Asqrt%2811%29%29\" = \"-3%2Asqrt%282%29%2F%285%2Asqrt%2811%29%29\"
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