Express the radical using the imaginary unit, iii. Express your answer in simplified form. \pm\sqrt{-34}=\pm± −34 =±plus minus
, square root of, minus, 34, end square root, equals, plus minus
2 answers:
Answer:
![\pm \sqrt{-34} = \pm 5.831i](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%7B-34%7D%20%3D%20%5Cpm%205.831i)
Step-by-step explanation:
We have to express the given radical using imaginary unit.
![\sqrt{-34}](https://tex.z-dn.net/?f=%5Csqrt%7B-34%7D)
We know that, imaginary unit:
![i = \sqrt{-1}](https://tex.z-dn.net/?f=i%20%3D%20%5Csqrt%7B-1%7D)
We may solve the radical as:
![\pm \sqrt{-34}\\=\pm \sqrt{34\times -1}\\=\pm \sqrt{34}\times \sqrt{-1}\\=\pm \sqrt{34}\times i\\=\pm \sqrt{34}i\\\approx \pm 5.831i](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%7B-34%7D%5C%5C%3D%5Cpm%20%5Csqrt%7B34%5Ctimes%20-1%7D%5C%5C%3D%5Cpm%20%5Csqrt%7B34%7D%5Ctimes%20%5Csqrt%7B-1%7D%5C%5C%3D%5Cpm%20%5Csqrt%7B34%7D%5Ctimes%20i%5C%5C%3D%5Cpm%20%5Csqrt%7B34%7Di%5C%5C%5Capprox%20%5Cpm%205.831i)
Answer:
6i
Step-by-step explanation:
On khan academy its 6i
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