Free Printable Radicals and Complex numbers

1.

Simplify the radical - 6√90

a)

10√8

b)

10√18

c)

18√10

d)

18√9

2.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

3.

Simplify

\frac{\sqrt{5}}{\sqrt{3}}

a)

$\frac{\sqrt{5}}{3}$

b)

$\frac{\sqrt{15}}{3}$

c)

$\frac{\sqrt{15}}{9}$

d)

$\frac{\sqrt{5}}{9}$

e)

None of these

4.

x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

5.

2k² - 37 = 61

a)

-98 and 98

b)

-49 and 49

c)

-7 and 7

d)

7

6.

Solve

\sqrt{x}=10

(a)

7.

Simplify:
(7 + 2i)(9 - 6i)

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

8.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

9.

Simplify
√-25

a)

-5i

b)

5

c)

5i

d)

-5

10.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

11.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

12.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

13.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

14.

What is the simplified form of (8 -3i)²?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

15.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

16.

Which expression is equivalent to $\left(2-5i\right)-\left(2+5i\right)$ ?

a)

$10i$

b)

$4+10i$

c)

$-10i$

d)

$4-10i$

17.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

18.

Solve

$\sqrt[]{x-7}+18=12$

a)

$x=17$

b)

$x=43$

c)

$x=13$

d)

No Solution

19.

a)

Step 1: Square both sides

b)

Step 1: cube both sides

c)

Step 1: subtract 3 from both sides

d)

Step 1: add 3 to both sides

20.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

21.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

22.

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

23.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

24.

a)

A

b)

B

c)

C

d)

D

25.

Solve the radical equation

a)

25

b)

50

c)

125

d)

5

26.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

27.

a)

A

b)

B

c)

C

d)

D

28.

Divide and simplify.

a)

4x√x

b)

3x²/x³√36

c)

2x

d)

4x²

29.

a)

A

b)

B

c)

C

d)

D

30.

$-5\left(x-6\right)^2\ +\ 10\ =\ -10$

Find the zeros

a)

x = +/- 8

b)

x = 2 and x = -2

c)

x = +/- 4

d)

x = 8 and x = 4

31.

Find x and y

-9x + 12i = 36 + yi

a)

x = 4 and y = 12

b)

x = -4 and y = 12

c)

x = 36 and y = 12i

d)

x = -9 and y = 12

32.

find x and y

4x + 18i = 28 -2yi

a)

x = 7 and y = -9

b)

x = 7 and y = 18

c)

x = -7 and y = -18

d)

x = 7 and y = 9

33.

Where is point A located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

34.

Which point is the graph of 3-2i?

(a)

35.

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root.

a)

-3+5i

b)

-3-5i

c)

-5i

d)

3-5i

36.

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root.

a)

7i

b)

-7i+1

c)

1-7i

d)

1+7i

Radicals and Complex numbers

Total questions: 36

Worksheet time: 2hrs 32mins

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