Multiply ( square root of -20)( square root of -13)

Math
(-20)(-13)
Rewrite -20 as -1(20).
-1(20)-13
Rewrite -1(20) as -1⋅20.
-1⋅20-13
Rewrite -1 as i.
i⋅20-13
Rewrite -13 as -1(13).
i⋅20-1(13)
Rewrite -1(13) as -1⋅13.
i⋅20(-1⋅13)
Rewrite -1 as i.
i⋅20(i⋅13)
Rewrite 20 as 22⋅5.
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Factor 4 out of 20.
i⋅4(5)(i⋅13)
Rewrite 4 as 22.
i⋅22⋅5(i⋅13)
i⋅22⋅5(i⋅13)
Pull terms out from under the radical.
i⋅(25)(i⋅13)
Move 2 to the left of i.
2⋅i5(i⋅13)
Multiply 2i5(i13).
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Raise i to the power of 1.
2(i1i)513
Raise i to the power of 1.
2(i1i1)513
Use the power rule aman=am+n to combine exponents.
2i1+1513
Add 1 and 1.
2i2513
Combine using the product rule for radicals.
2i213⋅5
Multiply 13 by 5.
2i265
2i265
Rewrite i2 as -1.
2⋅-165
Multiply 2 by -1.
-265
The result can be shown in multiple forms.
Exact Form:
-265
Decimal Form:
-16.12451549…
Multiply ( square root of -20)( square root of -13)

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