document.write( "Question 152648: Solve for x: √(x-6)√(x-6) = 15
\n" ); document.write( "a. 225
\n" ); document.write( "b. 21
\n" ); document.write( "c. 231
\n" ); document.write( "d. no solution
\n" ); document.write( "

Algebra.Com's Answer #112286 by mducky2(62)\"\" \"About 
You can put this solution on YOUR website!
It looks a lot harder than it is. Any time an equation has two square roots with the same thing under them, we can just multiply them together:
\n" ); document.write( "\"sqrt%28x-6%29%2Asqrt%28x-6%29+=+15\"
\n" ); document.write( "\"%28sqrt%28x-6%29%29%5E2+=+15\"
\n" ); document.write( "\"x-6=15\"
\n" ); document.write( "
When you square the square root of anything, the square and the square root basically cancel each other out. Now it's a lot easier to solve:
\n" ); document.write( "\"x-6=15\"
\n" ); document.write( "\"x-6%2B6=15%2B6\"
\n" ); document.write( "\"x=21\"
\n" ); document.write( "
Therefore, the answer is b.
\n" ); document.write( "
\n" );