Question 108793
{{{sqrt(27m^3)sqrt(125m^3)}}}

{{{Rule-No.1}}} 

If you have two positive numbers {{{x}}} and {{{y}}}, then 

  {{{sqrt(x*y) = sqrt(x)*sqrt(y)}}} 

and

  {{{sqrt(x/y) = sqrt(x)/sqrt(y)}}}


so, we will apply this part:

  {{{sqrt(x*y) = sqrt(x)*sqrt(y)}}} 

then we have:

= {{{sqrt(27)*sqrt(m^3)*sqrt(125)*sqrt(m^3)}}}..........since {{{sqrt(m^3)sqrt(m^3) = m^3}}}

we have

{{{sqrt(27)*sqrt(125)*m^3}}}.........{{{sqrt(27) = 5.2}}} which we can round to {{{5}}}, and {{{sqrt(125) = 11.2}}} which we can round to {{{11}}}

then we have:

{{{5*118m^3}}}

or

{{{55m^3}}}