Me pueden ayudar con los siguientes problemas de álgebra por favor​?

1)<img src="https://tex.z-dn.net/?f=2%5Csqrt%7B-4%7D%2B%5Cfrac%7B1%7D%7B3%7D%5Csqrt%7B-36%7D-%5Csqrt%5B3%5D%7B-64%7D%20%20%5C%5C%5C%5CNota%3A%20i%3D%5Csqrt%7B-1%7D%5C%5C%5C%5CEntonces%3A%20%5Csqrt%7B-4%7D%3D%5Csqrt%7B-1%7D%20%20%5Csqrt%7B4%7D%3Di%5Csqrt%7B4%7D%20%20%5C%5C%5C%5C2%28i%5Csqrt%7B4%7D%20%29%2B%5Cfrac%7B1%7D%7B3%7D%28i%5Csqrt%7B36%7D%20%29-%20%28-%5Csqrt%5B3%5D%7B64%7D%20%29%3D%5C%5C%5C%5C2%282i%29%2B%5Cfrac%7B1%7D%7B3%7D%286i%29-%28-4%29%20%3D%5C%5C%5C%5C4i%2B2i%2B4%3D%5C%5C%5C%5C4%2B6i" />2)<img src="https://tex.z-dn.net/?f=%28-5%2B3i%29-%28-1%2B4i%29%3D%5C%5C%5C%5C%28-5%2B3i%29%2B%281-4i%29%3D%5C%5C%5C%5C-4-i" />3)<img src="https://tex.z-dn.net/?f=%28-2-i%29%284-3i%29%3D%5C%5C%5C%5C-8%2B3i%5E%7B2%7D%20%2B6i-4i%3D%5C%5C%5C%5C-8-3%2B2i%3D%5C%5C%5C%5C-11%2B2i" />4)<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%2Bi%7D%7B1-3i%7D%3D%20%20%28%5Cfrac%7B2%2Bi%7D%7B1-3i%7D%29%28%5Cfrac%7B1%2B3i%7D%7B1%2B3i%7D%20%29%3D%5C%5C%5C%5C%5Cfrac%7B2%2B3i%5E%7B2%7D%20%2B6i%2Bi%7D%7B1-9i%5E%7B2%7D%2B3i-3i%20%7D%20%3D%5C%5C%5C%5C%5Cfrac%7B2-3%2B7i%7D%7B1%2B9%7D%3D%5Cfrac%7B-1%2B7i%7D%7B10%7D%3D%5Cfrac%7B-1%7D%7B10%7D%20%2B%5Cfrac%7B7i%7D%7B10%7D" />5)<img src="https://tex.z-dn.net/?f=%28-1%2Bi%29%28-1%2Bi%29%3D1%2Bi%5E%7B2%7D%20-i-i%3D1-1-2i%3D-2i" />.