Simplify 7 square root of 6*(2 square root of -3)

Math
76⋅(2-3)
Rewrite -3 as -1(3).
76⋅(2-1(3))
Rewrite -1(3) as -1⋅3.
76⋅(2(-1⋅3))
Rewrite -1 as i.
76⋅(2(i⋅3))
Multiply 76(2i3).
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Multiply 2 by 7.
146(i3)
Combine using the product rule for radicals.
143⋅6i
Multiply 3 by 6.
1418i
1418i
Rewrite 18 as 32⋅2.
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Factor 9 out of 18.
149(2)i
Rewrite 9 as 32.
1432⋅2i
1432⋅2i
Pull terms out from under the radical.
14(32)i
Multiply 3 by 14.
422i
Simplify 7 square root of 6*(2 square root of -3)

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