Radicals/Surds Formative Assessment

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: 
2√45 - 5√45 + 9√16

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

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

Rationalise the Denominator:
³/_√5

• ^3√5/₅
• ^3√5/₂₅
• ^√5/₅
• ^√5/3

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Rationalise the Denominator:
^{(3 + √4)} /_√2

• ^5√2/₂
• ^{(3√2 +√8)} /₂
• ^{(3√2 +√8)} /4 
• ^{(3√2 + √3 )} /₂

Tags

CCSS.HSN.RN.A.2

Which one would you multiply by to rationalise this denominator:
^√5 /_{(√2 - 1)}

• (√2 - 1)
• √2
• √2 + 1
• √5

Tags

CCSS.HSA.APR.D.6

Which one would you multiply by to rationalise this denominator:
⁷ /_3√6

• √6
• 3√6
• 2√3
• 3 - √6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSN.RN.A.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