Question

Can anybody help me on this?

Answer 1

Answer: second option.

Step-by-step explanation:

You need to descompose the radicand 8 and the radicand 50 into their prime factors:

$8=2*2*2=2^2*2\\50=2*5*5=2*5^2$

Then you can rewrite the expression:

$\sqrt{8}+\sqrt{50}$

$=\sqrt{2^2*2}+\sqrt{2*5^2}$

Since:

$\sqrt{a^2}=a$

You can simplify the expression:

$=2\sqrt{2}+5\sqrt{2}$

As the indices and the radicands are the same, you can make the addition:

$=7\sqrt{2}$