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Vanyuwa [196]
3 years ago
9

Write in terms of i. Simplify your answer as much as possible. ✓-96

Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

Answer:

4i \sqrt{6}

Step-by-step explanation:

<h3>Step One</h3>

We need to simplify the radical by breaking up the radicand into a product of known factors that are positive real numbers.

\sqrt{ - 96} becomes

\sqrt{16}  \times  \sqrt{6}

<h3>Step Two</h3>

After simplifying the products, we get

4 \sqrt{6}.

4 \sqrt{6} is just the square root of 96 simplified so we need to use the coefficient i. i is the square root of -1, and the square root of 96 times i is the square root of 96, so we just need to multiply i in the coefficient.

That leaves us with 4i \sqrt{6}.

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