Divide ( square root of -40)/( square root of -5)

Math
-40-5
Pull out imaginary unit i.
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Rewrite -40 as -1(40).
-1(40)-5
Rewrite -1(40) as -1⋅40.
-1⋅40-5
Rewrite -1 as i.
i⋅40-5
Rewrite -5 as -1(5).
i⋅40-1(5)
Rewrite -1(5) as -1⋅5.
i⋅40-1⋅5
Rewrite -1 as i.
i⋅40i⋅5
i⋅40i⋅5
Cancel the common factor of i.
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Cancel the common factor.
i⋅40i⋅5
Rewrite the expression.
405
405
Combine 40 and 5 into a single radical.
405
Divide 40 by 5.
8
Rewrite 8 as 22⋅2.
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Factor 4 out of 8.
4(2)
Rewrite 4 as 22.
22⋅2
22⋅2
Pull terms out from under the radical.
22
The result can be shown in multiple forms.
Exact Form:
22
Decimal Form:
2.82842712…
Divide ( square root of -40)/( square root of -5)

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