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Radicals - Multiply and Divide

Total questions: 11

Worksheet time: 1hrs 21mins

Name
Class
Date
1.

Simplify
 6(6+10)\sqrt{6}\left(\sqrt{6}+\sqrt{10}\right)  

a)

 6+2156+2\sqrt{15}  

b)

 8158\sqrt{15}  

c)

 96\sqrt{96}  

d)

 66+2156\sqrt{6}+2\sqrt{15}  

2.

Simplify
 45(3+10)4\sqrt{5}\left(3+\sqrt{10}\right)  

a)

 125+20212\sqrt{5}+20\sqrt{2}  

b)

 125+4212\sqrt{5}+4\sqrt{2} 

c)

 32732\sqrt{7} 

d)

 7327\sqrt{32} 

3.

Simplify
 (2+3)(8−3)\left(2+\sqrt{3}\right)\left(8-\sqrt{3}\right)  

a)

 13+6313+6\sqrt{3} 

b)

 13−6313-6\sqrt{3} 

c)

 19+10319+10\sqrt{3} 

d)

 19−10319-10\sqrt{3} 

4.

Simplify
 7603\frac{7\sqrt{60}}{\sqrt{3}} 

a)

 14514\sqrt{5}  

b)

 5145\sqrt{14}  

c)

 14+514+\sqrt{5}  

d)

 5+145+\sqrt{14}  

5.
Simplify
a)
√5
b)
-3√6
c)
√6
d)
6
6.
The number under the radical sign or square root sign  is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
7.
a)

6m2

b)

36

c)

6

d)
8.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

9.

SImplify:

a)

5√6

b)

25√6

c)

√150

d)

10√15

10.
Divide and simplify.
a)
4x√x
b)
3x2/x3√36
c)
2x
d)
4x2
11.
Simplify this expression.
a)
√18x5y
b)
3x2√2xy
c)
√18x36y56
d)
3√2x13y15