Question 432343
Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers.√5a+8√45a^3
{{{sqrt(5a) + 8*sqrt(45a^3)}}}
Factor inside the 2nd radical to reveal perfect squares
{{{sqrt(5a) + 8*sqrt(9*5*a^2*a)}}}
Extract the square root of those squares, leaving:
{{{sqrt(5a) + 3*8*a*sqrt(5a)}}}
which is
{{{sqrt(5a) + 24a*sqrt(5a)}}}
or
{{{24a*sqrt(5a) + sqrt(5a)}}}
Factor out {{{sqrt(5a)}}}
{{{sqrt(5a)(24a+1)}}}