Question

Find the square root of 35/4+3i

Answer 1

Answer:

See this.

Step-by-step explanation:

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Answer 2

Concept Introduction: Complex Numbers are advanced mathematics.

Given:

We have been Given:

$\sqrt{ \frac{35}{4} + 3i}$

To Find:

We have to Find: The solution.

Solution:

According to the problem, it is a Complex Number,

$i = - 1$

therefore on solving,

$\sqrt{ \frac{35}{4} + 3i} \\ = \sqrt{ \frac{35 + 12i}{4} } \\ = \frac{1}{2} \sqrt{36 + i + 12i} \\ = \frac{1}{2} \sqrt{ {6}^{2} + {i}^{2} + 2 \times i \times 6} \\ = \frac{1}{2} \sqrt{ {(6 + i)}^{2} } = \frac{6 + i}{2} = 3 + \frac{i}{2}$

Final Answer: The answer is

$3 + \frac{i}{2}$

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