$$\sqrt{2i}-2\sqrt{2i}$$
$-1-i$
$$1+i-2\sqrt{2i}$$
$$1+i-2\left(1+i\right)$$
$$1+i-2-2i$$
$$1+i+\left(-2-2i\right)$$
$$1-2+\left(1-2\right)i$$
$$-1-i$$
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$-1$
$$Re(1+i-2\sqrt{2i})$$
$$Re(1+i-2\left(1+i\right))$$
$$Re(1+i-2-2i)$$
$$Re(1+i+\left(-2-2i\right))$$
$$Re(1-2+\left(1-2\right)i)$$
$$Re(-1-i)$$
$$-1$$
