Question

Using binomial theorem express inthe form a + ib (3+√-4)​

Answer 1

Answer:

3+2i

Hope it helps you!

Answer 2

Using binomial theorem in this question a + ib = 3 + 2i

Step-by-step explanation:

$\sqrt{-1} = i\\ \textbf{\large It is the imaginary number}\\ \\\text{\large \sqrt{-4} = \sqrt{-1\times 2\times 2} = \sqrt{-1\times2^2} = 2\sqrt{-1} = 2i }$$\text{As we got to know that 2i =}\sqrt{-4}$

$\text{\large Now we can compare the given equation by a + ib}$

$\text{\large As the given equation is = 3 + }\sqrt{-4} = 3+ 2i\\\text{\large On comparing the given equation with a + ib}\\\\\textbf{a = 3 and b = 2}\\\\\\\textbf {\Large so a+ ib = 3 + 2i}$$\textbf {\Large So the correct answer is 3 + 2i}$