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Simplify : -16+3-25+-36--625 - Mathematics and Statistics

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Question

Simplify : `sqrt(-16) + 3sqrt(-25) + sqrt(-36) - sqrt(-625)`

Sum

Solution

`sqrt(-16) + 3sqrt(-25) + sqrt(-36) - sqrt(-625)`

`= sqrt(16 xx -1) + 3sqrt(25 xx - 1) + sqrt(36 xx -1) - sqrt(625 xx -1)`

= 4i + 3(5i) + 6i – 25i

= 4i + 15i + 6i – 25i

= (4 + 15 + 6 – 25)i

= 0i

= 0

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Chapter 1: Complex Numbers - Exercise 1.1 [Page 5]

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