Express the following complex numbers in the standard form `a+i b :((1+i)(1+sqrt(3)i))/(1-i)`

Explanation

To express the complex number \(\frac{(1+i)(1+\sqrt{3}i)}{1-i}\) in the standard form \(a + ib\), we will follow these steps:

### Step 1: Multiply the Numerator
First, we will multiply the terms in the numerator:
\[ (1+i)(1+\sqrt{3}i) = 1 \cdot 1 + 1 \cdot \sqrt{3}i + i \cdot 1 + i \cdot \sqrt{3}i \]
This simplifies to:
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