# Simplify (2 square root of -44)/-8

2-44-8
Cancel the common factor of 2 and -8.
Factor 2 out of 2-44.
2(-44)-8
Cancel the common factors.
Factor 2 out of -8.
2-442⋅-4
Cancel the common factor.
2-442⋅-4
Rewrite the expression.
-44-4
-44-4
-44-4
Pull out imaginary unit i.
Rewrite -44 as -1(44).
-1(44)-4
Rewrite -1(44) as -1⋅44.
-1⋅44-4
Rewrite -1 as i.
i⋅44-4
i⋅44-4
Simplify the numerator.
Rewrite 44 as 22⋅11.
Factor 4 out of 44.
i4(11)-4
Rewrite 4 as 22.
i22⋅11-4
i22⋅11-4
Pull terms out from under the radical.
i⋅211-4
i⋅211-4
Reduce the expression by cancelling the common factors.
Cancel the common factor of 2 and -4.
Factor 2 out of i⋅211.
2(i11)-4
Cancel the common factors.
Factor 2 out of -4.
2(i11)2⋅-2
Cancel the common factor.
2(i11)2⋅-2
Rewrite the expression.
i11-2
i11-2
i11-2
Move the negative in front of the fraction.
-i112
-i112
Simplify (2 square root of -44)/-8

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