What is expand (18.72+7.04i)sqrt(260-120i) ?

The solution to expand (18.72+7.04i)sqrt(260-120i) is 18.72sqrt(260-120i)+7.04isqrt(260-120i)

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expand (18.72+7.04i)sqrt(260-120i)

expand

(18.72 + 7.04 i) 260 - 120 i

18.72 260 - 120 i + 7.04 i 260 - 120 i

Solution steps

(18.72 + 7.04 i) 260 - 120 i

Apply the distributive law:

a (b + c) = ab + a c

a = 260 - 120 i, b = 18.72, c = 7.04 i

= 260 - 120 i \cdot 18.72 + 260 - 120 i \cdot 7.04 i

= 18.72 260 - 120 i + 7.04 i 260 - 120 i

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What is expand (18.72+7.04i)sqrt(260-120i) ?
The solution to expand (18.72+7.04i)sqrt(260-120i) is 18.72sqrt(260-120i)+7.04isqrt(260-120i)