document.write( "Question 186067This question is from textbook
\n" ); document.write( ": Hello, I have a problem with this radical! Please help, I don't understan it at all so I don't have any work to show. Sorry....\r
\n" ); document.write( "\n" ); document.write( "find x if (Sqrt x sqrt x)^3=9 \r
\n" ); document.write( "\n" ); document.write( "p.s. the second radical is inside the first and the entire thing is cubed
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Algebra.Com's Answer #139553 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
find x if (Sqrt x sqrt x)^3=9
\n" ); document.write( "Assume you mean
\n" ); document.write( "\"%28sqrt%28x%2Asqrt%28x%29%29%29%5E3\" = 9
\n" ); document.write( ":
\n" ); document.write( "Find the cube root of both sides
\n" ); document.write( "\"sqrt%28x%2Asqrt%28x%29%29\" = \"9%5E%281%2F3%29\"
\n" ); document.write( "Write it using exponents on the inside radical
\n" ); document.write( "\"sqrt%28x%2Ax%5E%281%2F2%29%29\" = \"9%5E%281%2F3%29\"
\n" ); document.write( ":
\n" ); document.write( "\"sqrt%28x%5E%283%2F2%29%29\" = \"9%5E%281%2F3%29\"
\n" ); document.write( ":
\n" ); document.write( "\"%28x%5E%283%2F2%29%29%5E%281%2F2%29\" = \"9%5E%281%2F3%29\"
\n" ); document.write( ":
\n" ); document.write( "\"x%5E%283%2F4%29\" = \"9%5E%281%2F3%29\"
\n" ); document.write( "Cube both sides
\n" ); document.write( "\"%28x%5E%283%2F4%29%29%5E3\" = 9
\n" ); document.write( ":
\n" ); document.write( "\"x%5E%289%2F4%29\" = 9
\n" ); document.write( ":
\n" ); document.write( "x = \"9%5E%284%2F9%29\"
\n" ); document.write( "x ~ 2.655
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution on a calc: enter \"%28sqrt%282.655%2Asqrt%282.655%29%29%29%5E3\" = 8.997 ~ 9
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