Question 162386
square root of a * square root of b equals square root of (a*b)
in equation form, this looks like
{{{sqrt(a)*sqrt(b)=sqrt(a*b)}}}
in your equation,
{{{3*sqrt(10*y)*sqrt(6*y)=3*sqrt(10*y*6*y)}}}
this equals {{{3*sqrt(60*y^2)}}}
which equals {{{3*y*sqrt(60)}}}
square root of 60 equals square root of (2*2*15) which equals 2 * square root of 15.
so your equation becomes
{{{3 * y * 2 * sqrt(15)}}}
which becomes {{{6*y*sqrt(15)}}}
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.