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Vanyuwa [196]
2 years ago
6

Write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.

Mathematics
1 answer:
bulgar [2K]2 years ago
5 0
<h3>Answer: Choice C</h3>

Work Shown:

\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\

This matches with choice C. The imaginary 'i' term is not under the square root.

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Answer:

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