Simplify ( square root of -72)/( square root of 6)

Math
-726
Pull out imaginary unit i.
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Rewrite -72 as -1(72).
-1(72)6
Rewrite -1(72) as -1⋅72.
-1⋅726
Rewrite -1 as i.
i⋅726
i⋅726
Combine 72 and 6 into a single radical.
i⋅726
Divide 72 by 6.
i⋅12
Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
i⋅4(3)
Rewrite 4 as 22.
i⋅22⋅3
i⋅22⋅3
Pull terms out from under the radical.
i⋅(23)
Move 2 to the left of i.
2i3
Simplify ( square root of -72)/( square root of 6)

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