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You can put this solution on YOUR website!
sqrt(7*x^7 * sqrt(35*x) is equal to sqrt(7*x^7 * 35*x)
\n" ); document.write( "since 35x is equivalent to 7*5*x, this expression becomes sqrt(7*x^7*7*5*x)
\n" ); document.write( "since x^7*x = x^8, this expression becomes sqrt(7*x^8*7*5)
\n" ); document.write( "since 7*7 = 7^2, this expression becomes sqrt(7^2*x^8*5)
\n" ); document.write( "since sqrt(7^2) = 7, this expression becomes 7*sqrt(x^8*5)
\n" ); document.write( "since x^8 is equal to x^2*x^2*x^2*x^2, this expression becomes 7*sqrt(x^2*x^2*x^2*x^2*5)
\n" ); document.write( "since sqrt(x^2) = x, this expression becomes 7*x*x*x*x*sqrt(5)
\n" ); document.write( "since x*x*x*x = x^4, this expression becomes 7*x^4*sqrt(5)
\n" ); document.write( "that's your answer.
\n" ); document.write( "to prove you did good, take any random value of xc and replace x with that value in both the original expression and the final expression to see if both expressions give you the same answer.
\n" ); document.write( "the original expression is sqrt(7*x^7) * sqrt(35*x)
\n" ); document.write( "replace x with 5
\n" ); document.write( "you will need your calculator to solve this.
\n" ); document.write( "the original expression becomes sqrt(7*5^7) * sqrt(35*5)
\n" ); document.write( "solve this expression using your calculator to get 9782.797402
\n" ); document.write( "the final expression is 7*x^4*sqrt(5)
\n" ); document.write( "replace x with 5
\n" ); document.write( "the final expression becomes 7*5^4*sqrt(5)
\n" ); document.write( "solve this expression using your calculator to get 9782.797402
\n" ); document.write( "you get the same answer using the original expression and using the final expression which is a good indication that your solution is good.
\n" ); document.write( "the final expression is 7*5^4*sqrt(5) which can't be simplified any further. \n" ); document.write( "