Surds

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: 
√216

• 2√108
• 4√54
• 6√6
• 18√6

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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 + √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

What is a surd?

• A recurring decimal

• An irrational number

• A fraction

• A rational number

Select a surd.

• √2

• √4

• √99

• √20

5√2 x 2√3

• 10√6

• 6√10

• 60

• 15√6

Expand and simplify.....

√5(1 - √3)

• √5 - √15

• 1√5 - 3√5

• √5 - 3√5

• √5 - 5√3

Tags

CCSS.HSN.RN.A.2