Simplify the following expressions using the imaginary number i: 1. 5\sq

ddaeeric

ddaeeric

Answered question

2021-09-18

Simplify the following expressions using the imaginary number i:
1. 512
2. 8
3. 37
4. 3200
Write the following numbers using the imaginary number i, and then perform the operations necessary and simplify your answer.
1. 39249
2. 1236
3. i36i2
Simplify the following expressions using the imaginary number i when needed:
8. i8
9. i75
10. (i2)(i6)
Simplify and rationalize the denominators.
11. 432
12. 3227
13. 427
Perform the operation indicated in each problem below:
14. (8+6i)+(2+i)
15. 9+(42i)
16. (1+i)(1i)
17. 3i(4+15i)
Perform the operation indicated in each problem below:
18. (2+3i)(23i)
19. (273i)(3+i)
20. (2i3)(2+i3)
21. 2i(3i2)
22. (36i)2
Determine the sum or difference in geometric terms, and then check it algebraically. Remember that ab=a+(b).
23. (85i)(2+3i)
24. (6+i)(23i)
25. (3+i)+(2+2i)+(82i)
Solve the following equations using the quadratic formula.
26. X24X+13=0
27. X2+49=0
28. X2+5X+8=0
29. X23X+4=0

Answer & Explanation

Khribechy

Khribechy

Skilled2021-09-19Added 100 answers

1) The given expression is 512
Simplify the expression
512=5112
=5i43
=5i(2)3
=10i3
2) The given expression is 8
Simplify the expression
8=18
=i42
=2i2
3) The given expression is 37
Simplify the expression
37=317
=3i7
4) The given expression is 3200.
Simplify the expression
3200=31200
=3i2100
=3i(10)2
=30i2

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