Simplify square root of 3+i+( square root of 5-2i)

$\sqrt{3} + i + (\sqrt{5} - 2 i)$

Step 1

Remove parentheses.

$\sqrt{3} + i + \sqrt{5} - 2 i$

Step 2

Subtract $2 i$ from $i$ .

$\sqrt{3} - i + \sqrt{5}$

Step 3

Reorder $\sqrt{3} - i$ and $\sqrt{5}$ .

$\sqrt{5} + \sqrt{3} - i$