14/01/2021
Mathway | Linear Algebra Problem Solver
Evaluate
(3.06 + 5.57i) ⋅ (1.97 + 0.35i)
Expand (3.06 + 5.57i) (1.97 + 0.35i) using the FOIL Method.
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Apply the distributive property.
3.06 (1.97 + 0.35i) + 5.57i (1.97 + 0.35i)
Apply the distributive property.
3.06 ⋅ 1.97 + 3.06 (0.35i) + 5.57i (1.97 + 0.35i)
Apply the distributive property.
3.06 ⋅ 1.97 + 3.06 (0.35i) + 5.57i ⋅ 1.97 + 5.57i (0.35i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 3.06 by 1.97.
6.0282 + 3.06 (0.35i) + 5.57i ⋅ 1.97 + 5.57i (0.35i)
Multiply 0.35 by 3.06.
6.0282 + 1.071i + 5.57i ⋅ 1.97 + 5.57i (0.35i)
Multiply 1.97 by 5.57.
6.0282 + 1.071i + 10.9729i + 5.57i (0.35i)
Multiply 5.57i (0.35i).
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Multiply 0.35 by 5.57.
6.0282 + 1.071i + 10.9729i + 1.9495ii
https://www.mathway.com/Calculus
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14/01/2021
Mathway | Linear Algebra Problem Solver
Raise i to the power of 1.
1
6.0282 + 1.071i + 10.9729i + 1.9495 (i i)
Raise i to the power of 1.
1
1
6.0282 + 1.071i + 10.9729i + 1.9495 (i i )
Use the power rule a
m
a
n
= a
m+n
to combine exponents.
6.0282 + 1.071i + 10.9729i + 1.9495i
1+1
Add 1 and 1.
6.0282 + 1.071i + 10.9729i + 1.9495i
2
Rewrite i as −1.
2
6.0282 + 1.071i + 10.9729i + 1.9495 ⋅ −1
Multiply 1.9495 by −1.
6.0282 + 1.071i + 10.9729i − 1.9495
Subtract 1.9495 from 6.0282.
4.0787 + 1.071i + 10.9729i
Add 1.071i and 10.9729i.
4.0787 + 12.0439i
https://www.mathway.com/Calculus
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