Question 203886
3(sqrt7t)((2(sqrt7t) + 3(sqrt3t^2))
:
{{{(3*sqrt(7t))}}} *{{{(2*sqrt(7t) + 3*sqrt(3t^2))}}}
:
Multiply both terms inside the brackets by {{{(3*sqrt(7t))}}}; results:
6(7t) + {{{9*sqrt(21t^3))}}}
or
6(7t) + {{{9*sqrt(21t^2*t))}}}
Extract the square root of t^2
42t + {{{9t*sqrt(21t))}}}
:
Factor out 3t
:
{{{3t(14 + 3*sqrt(21t))}}}