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Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(s...

Simplify: `(sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))`

Text Solution

Verified by Experts

The correct Answer is:
`-(3)/(2)i`
`((sqrt(5+12i)+sqrt(5-12i))(sqrt(5+12i)+sqrt(5-12i)))/((sqrt(5+12i)-sqrt(5-12i))(sqrt(5+2i)+sqrt(5-12i)))`
`(5+12i+5-12i+2sqrt(5+12i)sqrt(5-12i))/(5+12i-5+12i)`
`=(10+2xx13)/(24i)`
` = -(3)/(2)i`
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