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2.4a Radical Expressions

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

 320+453\sqrt{20}+4\sqrt{5}  

a)

 10510\sqrt{5}  

b)

 16516\sqrt{5}  

c)

 7257\sqrt{25}  

2.

 227+83+582\sqrt{27}+8\sqrt{3}+5\sqrt{8}  

a)

 24324\sqrt{3}  

b)

 243+5824\sqrt{3}+5\sqrt{8}  

c)

 143+10214\sqrt{3}+10\sqrt{2}  

3.

 10452010\sqrt{45}-\sqrt{20}  

a)

 32532\sqrt{5}  

b)

 88588\sqrt{5}  

c)

 28528\sqrt{5}  

4.

 3505323\sqrt{50}-5\sqrt{32}  

a)

 323\sqrt{2}  

b)

 52-5\sqrt{2}  

c)

 35235\sqrt{2}  

5.
Which of these expressions CANNOT be multiplied together?
a)
(3√6)(√7)
b)
(4√3)(4√18)
c)
(√16)(√4)
d)
(3√5)(3√-25)
6.

Multiply. If possible. Then simplify. 832\sqrt{8}\cdot\sqrt{32}   

a)

16

b)

8

c)

not possible

d)

4

7.

Simplify. Assume that all variables are positive. 50x5\sqrt{50x^5}   

a)

 5x225x^2\sqrt{2}  

b)

 10x2x10x\sqrt{2x}  

c)

 52x25\sqrt{2x^2}  

d)

 5x22x5x^2\sqrt{2x}  

8.

Simplify. Assume that all variable are positive. 200a6b7\sqrt{200a^6b^7}  

a)

 10a3b3b10a^3b^3\sqrt{b}  

b)

 10a3b32b10a^3b^3\sqrt{2b}  

c)

 5a3b32b5a^3b^3\sqrt{2b}  

d)

 5a3b3b5a^3b^3\sqrt{b}  

9.

Simplify 1420312514\sqrt{20}-3\sqrt{125}   

a)

 13513\sqrt{5}  

b)

 131013\sqrt{10}  

c)

 135-13\sqrt{5}  

d)

Cannot combine

10.

 52+425\sqrt{2}+4\sqrt{2}  

a)

 949\sqrt{4}  

b)

 929\sqrt{2}  

c)

 20220\sqrt{2}  

11.

 12+518+227\sqrt{12}+5\sqrt{18}+2\sqrt{27}  

a)

 83+1528\sqrt{3}+15\sqrt{2}  

b)

 82+1538\sqrt{2}+15\sqrt{3}  

c)

 25225\sqrt{2}  

12.

 5200585\sqrt{200}-5\sqrt{8}  

a)

 60260\sqrt{2}  

b)

 8\sqrt{8}  

c)

 40240\sqrt{2}  

13.

Simplify completely.

a)

8√3xy

b)

y√24xy

c)

8y√3xy

d)

8√24x

14.
2√18a6b2
a)
3a³b√2
b)
6a³b²√2
c)
6a³b√2
d)
2a³b√2
15.
Simplify the expression:
a)
25x2y3
b)
-5xy2 ∛5x
c)
5ixy2 ∛5x
d)
-125x3y6 ∛5x