What is expand (1+sqrt(3i))(4+3i) ?

The solution to expand (1+sqrt(3i))(4+3i) is 4+3i+4sqrt(3)sqrt(i)+3sqrt(3)isqrt(i)

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expand (1+sqrt(3i))(4+3i)

expand

(1 + 3 i) (4 + 3 i)

4 + 3 i + 43 i + 33 i i

Solution steps

(1 + 3 i) (4 + 3 i)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 1, b = 3 i, c = 4, d = 3 i

= 1 \cdot 4 + 1 \cdot 3 i + 3 i \cdot 4 + 3 i \cdot 3 i

= 1 \cdot 4 + 1 \cdot 3 i + 4 3 i + 3 i 3 i

Simplify

1 \cdot 4 + 1 \cdot 3 i + 4 3 i + 3 i 3 i : 4 + 3 i + 43 i + 33 i i

= 4 + 3 i + 43 i + 33 i i

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What is expand (1+sqrt(3i))(4+3i) ?
The solution to expand (1+sqrt(3i))(4+3i) is 4+3i+4sqrt(3)sqrt(i)+3sqrt(3)isqrt(i)