anonymous
  • anonymous
Rationalize and Simplify 5i - 2i ----- 1 - 2i
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
multiply by 1+2i to realize the denominator you then get (3i - 6)/5
anonymous
  • anonymous
wait what??can you explain?
anonymous
  • anonymous
Your numerator = 5i -2i = 3i Now, your denominator has to be free of all i's. How do we cancel out the i in the denominator? We multiply 1-2i by 1+2i (but to be valid, we need to multiply the top by 1+2i as well) 3i(1+2i) = 3i +6i^2 = 3i - 6 (1+2i)(1-2i) = 1 -4i^2 = 1+4 = 5 3i-6/5

Looking for something else?

Not the answer you are looking for? Search for more explanations.