Surds

 $2√32-√50+√98$  

•  $√2$  

•  $10√2$  

•  $56√2$  

•  $700√2$  

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

• A

• B

• C

• D

Simplify fully: 
2√45 - 5√45 + 9√16

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

Simplify fully: 
√216

• 2√108
• 4√54
• 6√6
• 18√6

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

• a)
• b)
• c)
• d)

• a)
• b)
• c)
• d)

• a)
• b)
• c)
• d)