Surds 10AEP

Simplify fully: 
√32

• 4√8
• 16√2
• 4√2
• 4√4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify fully: 
√120

• 4√30
• 2√30
• 12√10
• 6√10

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify fully: 
√32 + 5√32

• 6√32
• 24√8
• 24√2
• 6√8

Tags

CCSS.HSN.RN.A.2

Simplify fully: 
√32 + √12

• 4√2 +2√3
• 6√5
• √44
• 2√11

Tags

CCSS.HSN.RN.A.2

Simplify fully: 
2√45 - 5√45 + 9√16

• -9√5 + 36
• -3√45 + 144
• 6√16
• 6√106

 $2√32-√50+√98$  

•  $√2$  

•  $10√2$  

•  $56√2$  

•  $700√2$  

1.       If a and b are positive integers, which of the following is/are correct?


 $I.\sqrt{a^2+b^2}=a+b$  

 $II.\sqrt{a^2b^2}=ab$  
 $III.\sqrt{2a^2b}\times\sqrt{6a^3b}=2a^2b\sqrt{3a}$  

• II only

• III only
  

• II and III only
  

• I, II and III

Expand and simplify ...

(2 + √3)(1 + √3)

• 5 + 3√3

• 2 + 3√3

• 5 + √3

• 11 + 3√3

Expand and simplify ...

(2 + 2√3)(1 + 4√3)

• 26 + 10√3

• 26 + 6√3

• 5 + 10√3

• 5 + 6√3

Select a surd.

• √2

• √4

• √99

• √20