Question 83596
Simplify:
{{{3b*sqrt(27a^5b)+2a*sqrt(3a^3b^3)}}}
{{{3b*sqrt(3*9*a*a^4*b) + 2a*sqrt(3*a*a^2*b*b^2)}}}Take the square root of the squares.
{{{3b*3*a^2*sqrt(3ab) + 2a*a*b*sqrt(3ab)}}} Simplify.
{{{9a^2b*sqrt(3ab) + 2a^2b*sqrt(3ab)}}} Add the terms.
{{{11a^2b*sqrt(3ab)}}}
N.B. In your second step, you failed to take the square root of the {{{a^2}}} and the {{{b^2}}} in the second term when you brought them outside of the radical.