Multiply the coefficients outside the radicals
Multiply the numbers inside the radicals
Simplify the resulting radical if possible
Use the rule ( sqrt{a}cdotsqrt{b}=sqrt{ab} )
Use the rule ( (msqrt{a})(nsqrt{b})=mnsqrt{ab} )
If the radicals have different indices, rewrite them with a common index first
Combine like radicals only after simplifying
Rationalize the denominator if a radical remains in the denominator