document.write( "Question 162386: trying to multiply square roots\r
\n" ); document.write( "\n" ); document.write( "3 times the square root of 10y times square root of 6y
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Algebra.Com's Answer #119678 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
square root of a * square root of b equals square root of (a*b)
\n" ); document.write( "in equation form, this looks like
\n" ); document.write( "\"sqrt%28a%29%2Asqrt%28b%29=sqrt%28a%2Ab%29\"
\n" ); document.write( "in your equation,
\n" ); document.write( "\"3%2Asqrt%2810%2Ay%29%2Asqrt%286%2Ay%29=3%2Asqrt%2810%2Ay%2A6%2Ay%29\"
\n" ); document.write( "this equals \"3%2Asqrt%2860%2Ay%5E2%29\"
\n" ); document.write( "which equals \"3%2Ay%2Asqrt%2860%29\"
\n" ); document.write( "square root of 60 equals square root of (2*2*15) which equals 2 * square root of 15.
\n" ); document.write( "so your equation becomes
\n" ); document.write( "\"3+%2A+y+%2A+2+%2A+sqrt%2815%29\"
\n" ); document.write( "which becomes \"6%2Ay%2Asqrt%2815%29\"
\n" ); document.write( "i don't think it can be reduced more than that.
\n" ); document.write( "if you use the calculator to solve for square root of 15, then the equation becomes
\n" ); document.write( "6*y*3.8729.....
\n" ); document.write( "which becomes
\n" ); document.write( "23.2379*y
\n" ); document.write( "which becomes 23.24*y rounded to nearest hundredth.
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