Question 132991
{{{sqrt(18a^2b)}}} Start with the given expression



{{{sqrt(18)sqrt(a^2)sqrt(b)}}} Break up the root



{{{3*sqrt(2)*sqrt(a^2)sqrt(b))}}} Simplify {{{sqrt(18)}}} to get {{{3*sqrt(2)}}}



{{{3*sqrt(2)*a*sqrt(b)}}} Simplify {{{sqrt(a^2)}}} to get {{{a}}}



{{{3*a*sqrt(2b)}}} Combine the square roots




So {{{sqrt(18a^2b)}}} simplifies to {{{3*a*sqrt(2b)}}}



In other words, {{{sqrt(18a^2b)=3*a*sqrt(2b)}}} if a and b are positive numbers (since you cannot take the square root of a negative number)