Answer:
[tex]26\,\sqrt{5} +2\,\sqrt{10}[/tex]
Step-by-step explanation:
We start by using distributive property multiplying the constant term outside the parenthesis times each of the terms inside the parenthesis:
[tex]2\,\sqrt{5} \,(13+\sqrt{2} )=2*13\,\sqrt{5} +2\,\sqrt{5} \,\sqrt{2} = 26\,\sqrt{5} +2\,\sqrt{5\,*\,2} =26\,\sqrt{5} +2\,\sqrt{10}[/tex]