Simplify the following expressions using the imaginary number i: 1. 5−12 2. −8 3. 3−7 4. −3−200 Write the following numbers using the imaginary number i, and then perform the operations necessary and simplify your answer. 1. 3−9⋅2−49 2. −12⋅−36 3. i−36−i2 Simplify the following expressions using the imaginary number i when needed: 8. i8 9. i75 10. (i2)(i6) Simplify and rationalize the denominators. 11. 4−32 12. −3−227 13. −427 Perform the operation indicated in each problem below: 14. (8+6i)+(2+i) 15. −9+(4−2i) 16. (1+i)−(1−i) 17. 3i−(4+15i) Perform the operation indicated in each problem below: 18. (2+3i)(2−3i) 19. (27−3i)(3+i) 20. (2−i3)(2+i3) 21. 2i(3i−2) 22. (3−6i)2 Determine the sum or difference in geometric terms, and then check it algebraically. Remember that a−b=a+(b). 23. (8−5i)−(2+3i) 24. (−6+i)−(−2−3i) 25. (3+i)+(−2+2i)+(8−2i) Solve the following equations using the quadratic formula. 26. X2−4X+13=0 27. X2+49=0 28. X2+5X+8=0 29. X2−3X+4=0

Question

Simplify the following expressions using the imaginary number i:   1. 5−12  2. −8  3. 3−7  4. −3−200  Write the following numbers using the imaginary number i, and then perform the operations necessary and simplify your answer.  1. 3−9⋅2−49  2. −12⋅−36  3. i−36−i2  Simplify the following expressions using the imaginary number i when needed:  8. i8   9. i75  10. (i2)(i6)  Simplify and rationalize the denominators.  11. 4−32  12. −3−227   13. −427  Perform the operation indicated in each problem below:  14. (8+6i)+(2+i)  15. −9+(4−2i)  16. (1+i)−(1−i)   17. 3i−(4+15i)  Perform the operation indicated in each problem below:  18. (2+3i)(2−3i)  19. (27−3i)(3+i)  20. (2−i3)(2+i3)   21. 2i(3i−2)  22. (3−6i)2  Determine the sum or difference in geometric terms, and then check it algebraically. Remember that a−b=a+(b).  23. (8−5i)−(2+3i)  24. (−6+i)−(−2−3i)  25. (3+i)+(−2+2i)+(8−2i)  Solve the following equations using the quadratic formula.  26. X2−4X+13=0  27. X2+49=0  28. X2+5X+8=0  29. X2−3X+4=0

Khribechy · Accepted Answer

1) The given expression is 5−12  Simplify the expression  5−12=5−112  =5i43  =5i(2)3  =10i3  2) The given expression is −8  Simplify the expression  −8=−18  =i42  =2i2  3) The given expression is 3−7  Simplify the expression  3−7=3−17  =3i7  4) The given expression is −3−200.  Simplify the expression  −3−200=−3−1200  =−3i2100  =−3i(10)2  =−30i2

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

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