Answer: second option.
Step-by-step explanation:
You need to descompose the radicand 8 and the radicand 50 into their prime factors:
[tex]8=2*2*2=2^2*2\\50=2*5*5=2*5^2[/tex]
Then you can rewrite the expression:
[tex]\sqrt{8}+\sqrt{50}[/tex]
[tex]=\sqrt{2^2*2}+\sqrt{2*5^2}[/tex]
Since:
[tex]\sqrt{a^2}=a[/tex]
You can simplify the expression:
[tex]=2\sqrt{2}+5\sqrt{2}[/tex]
As the indices and the radicands are the same, you can make the addition:
[tex]=7\sqrt{2}[/tex]
