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How do you simplify the square root of -8/9?

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February 20th, 2023

We have ##sqrt(-8/9)=sqrt(-8)/sqrt(9)=sqrt(-1 cdot 2 cdot 4)/3=(sqrt(-1)sqrt(2)sqrt(4))/3=(2sqrt(2))/3 sqrt(-1)=(2sqrt(2))/3 i##

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