Simplify square root of 39* square root of 3+10 square root of 13

39⋅3+1013
Simplify each term.
Combine using the product rule for radicals.
39⋅3+1013
Multiply 39 by 3.
117+1013
Rewrite 117 as 32⋅13.
Factor 9 out of 117.
9(13)+1013
Rewrite 9 as 32.
32⋅13+1013
32⋅13+1013
Pull terms out from under the radical.
313+1013
313+1013