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Answer:
Not sure on this but I'm pretty sure its 12i√11 since you have to use an imaginary number in order for the equation to work.
By simplifying the expression 4√−99, we have; 12i√11.
To simplify 4√−99, we first need to simplify the number present within the square root.
To do this, the factors are determined as follows;
- 4 × √9 × √-11
We can therefore find the square root of 9 so that we have;
- 4 × 3 × √-11.
- 4 × 3 × √-11
- 12 × √-11
Furthermore, √-11 can be rewritten as;
- √-1 × √11.
However, in complex numbers, √-1 = i.
Ultimately, we have 12i√11 as the simplification of 4√−99.
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