document.write( "Question 82458: Hello,\r
\n" ); document.write( "\n" ); document.write( "I need help with the following problems as I get an error message on my calculator!
\n" ); document.write( "its:
\n" ); document.write( "1. sqrt x-1=3 ( I don't know the square root symbol!)\r
\n" ); document.write( "\n" ); document.write( "2. sqrt x^3=8\r
\n" ); document.write( "\n" ); document.write( "3. 3 sqrt x^2=4\r
\n" ); document.write( "\n" ); document.write( "4. Is sqrt x^2 power an identity (true for all values of x)?\r
\n" ); document.write( "\n" ); document.write( "Thanks so much for your help!! :)
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Algebra.Com's Answer #59103 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1. sqrt(x-1) = 3
\n" ); document.write( ":
\n" ); document.write( "(Sqrt(x-1))^2 = 3^2; square both sides
\n" ); document.write( "x - 1 = 9; gets rid of the radical
\n" ); document.write( "x = 9 + 1
\n" ); document.write( "x = 10
\n" ); document.write( "Check: sqrt(10-1) = 3
\n" ); document.write( ":
\n" ); document.write( "2. sqrt(x^3) = 8
\n" ); document.write( "Square both sides again:
\n" ); document.write( "x^3 = 64
\n" ); document.write( "x = CubeRt(64)
\n" ); document.write( "x = 4
\n" ); document.write( "Check: Sqrt(4^3) = 8
\n" ); document.write( ":
\n" ); document.write( "3. 3*sqrt(x^2) = 4
\n" ); document.write( "Square both sides:
\n" ); document.write( "(3*sqrt(x^2) = 4^2
\n" ); document.write( "9*(x^2) = 16
\n" ); document.write( "x^2 = 16/9
\n" ); document.write( "x = Sqrt(16/9)
\n" ); document.write( "x = +/-4/3
\n" ); document.write( "Check 3 * sqrt[(4/3)^2] = 4 (on a calc)
\n" ); document.write( ":
\n" ); document.write( "4. Is sqrt x^2 power an identity (true for all values of x)?
\n" ); document.write( "I think it is
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