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Alg 2 Unit 2 Test Review

Total questions: 12

Worksheet time: 38mins

Name
Class
Date
1.

Write the expression in radical form.
(3x²y³) 3/10

a)

27x6y910\sqrt[10]{27x^6y^9}

b)

59049x20y303\sqrt[3]{59049x^{20}y^{30}}

c)

27x6y93\sqrt[3]{27x^6y^9}

d)

59049x20y3010\sqrt[10]{59049x^{20}y^{30}}

2.

64x21y303\sqrt[3]{64x^{21}y^{30}}

a)

4x7y104x^7y^{10}

b)

8x4y108x^4y^{10}

c)

8xy8xy

d)

4x21y304x^{21}y^{30}

3.

 117\sqrt{117}  

a)

 3i133i\sqrt{13}  

b)

 3133\sqrt{13}  

c)

 913\sqrt{9}\sqrt{13}  

d)

 1011.710\sqrt{11.7}  

4.


Fully Reduce
3162x8yz63\sqrt{162x^8yz^6}  

a)

27x4z32y27x^4z^3\sqrt{2y}  

b)

6x2yz9x3z6x^2yz\sqrt{9x^3z}  

c)

27x3z22x2y27x^3z^2\sqrt{2x^2y}  

d)

3x4z22yz3x^4z^2\sqrt{2yz}  

5.

2 806 20 =2\ \sqrt[]{80}-6\ \sqrt[]{20\ }=  

(Hint: These are not like terms, so you must simplify both radicals first)

a)

15 515\ \sqrt[]{5}  

b)

4 5-4\ \sqrt[]{5}  

c)

4 54\ \sqrt[]{5}  

d)

8 58\ \sqrt[]{5}  

6.

Multiply and simplify: 6182\sqrt{6}\cdot\sqrt{18}\cdot\sqrt[]{2}  

a)

6146\sqrt{14}  

b)

6126\sqrt{12}  

c)

36636\sqrt{6}  

d)

666\sqrt{6}  

7.

Simplify  4504\sqrt{-50}

a)

20i220i\sqrt{2}  

b)

50i50i  

c)

5i5i  

d)

202-20\sqrt[]{2}  

8.

What is the value of i19?

a)

i

b)

-1

c)

-i

d)

1

9.

Simplify 2i8-2i\sqrt[]{-8}

a)

-2i√-8

b)

4√2

c)

-4i√2i

d)

16i

10.
Calculate (multiply):
(1 − 2i)(6 + 5i)
a)
16 − 7i
b)
-16 + 7i
c)
-16 − 7i
d)
16 + 7i
11.

 Simplify:    2i(4 + 3i)Simplify:\ \ \ \ 2i\left(4\ +\ 3i\right)  

a)

 6 + 8i-6\ +\ 8i  

b)

 6 + 8i6\ +\ 8i  

c)

 6i + 8i-6i\ +\ 8i  

d)

 1 + 8i-1\ +\ 8i  

12.

Multiply the radical expressions together.

238\sqrt[]{2}\cdot\sqrt[]{3}\cdot\sqrt[]{8}  

a)

  48\sqrt[]{48}  

b)

  16316\sqrt[]{3}  

c)

  434\sqrt[]{3}  

d)

  252\sqrt[]{5}