Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

simplify the given expression: 2/2+5i

Sagot :

IsrarAwan

The correct answer is: [tex] \frac{4-10i}{29} [/tex]


Explanation:


Given expression:

[tex] \frac{2}{2+5i} [/tex]


Apply rationalization (multiply and divide by (2-5i)):


[tex] \frac{2}{2+5i} * (\frac{2-5i}{2-5i} ) [/tex]


Now evalute as follows:

[tex] \frac{4-10i}{(2)^2-(5i)^2} [/tex]


Remember [tex] i^2 = -1 [/tex]


[tex] \frac{4-10i}{4-(-25)} \\ \frac{4-10i}{29} [/tex]


Hence the correct answer is [tex] \frac{4-10i}{29} [/tex].


-i


Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.