SOLUTION: trying to multiply square roots 3 times the square root of 10y times square root of 6y

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