Simplify the following expressions using the imaginary number i: 1. 5√-12 2. √-83. 3√-74. -3√-200 Write the following numbers using the imaginary number i, and then perform the operations necessary and simplify your answer. 3√-9 • 2√-49 √-12 • √-36 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√-3/2 12. -3√-2/27 13. √-4/27 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 – i√3) (√2 + i√3) 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. X 2 – 4X + 13 = 0 27. X 2 + 49 = 0 28. X 2 + 5X + 8 = 0 29. X2 -3X+4=0
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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.
-
3√-9 • 2√-49
-
√-12 • √-36
-
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√-3/2 12. -3√-2/27 13. √-4/27
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 – i√3) (√2 + i√3) 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. X 2 – 4X + 13 = 0 27. X 2 + 49 = 0
28. X 2 + 5X + 8 = 0 29. X2 -3X+4=0
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
