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সমাধান কর: $(3+\sqrt3)z+2= 5+3\sqrt3$

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$(3+\sqrt3)z+2= 5+3\sqrt3$

বা, $(3+\sqrt3)z=5+3\sqrt3-2$

বা, $(3+\sqrt3)z=3+3\sqrt3$

বা, $(3+\sqrt3)z=3\sqrt3+3$

বা, $(3+\sqrt3)z=3\sqrt3+\sqrt3\cdot\sqrt3$

বা, $(3+\sqrt3)z=\sqrt3\left(3+\sqrt3\right)$

বা, $z=\frac{\sqrt3\left(3+\sqrt3\right)}{\left(3+\sqrt3\right)}$

$\therefore z=\sqrt3$

সুতরাং নির্ণেয় সমাধান $z=\sqrt3$ [Answer]

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