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QUESTION
How do you simplify the square root of -8/9?
We have ##\sqrt(-8/9)=\sqrt(-8)/\sqrt(9)=\sqrt(-1 \cdot 2 \cdot 4)/3=(\sqrt(-1)\sqrt(2)\sqrt(4))/3=(2\sqrt(2))/3 \sqrt(-1)=(2\sqrt(2))/3 i##
