Surds

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: 
√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

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

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

Simplify the following surd...

• 3√2

• 2√3

• 9√2

• 3√6

Simplify the following surd...

• 4√2

• 2√3

• 6√2

• 4√3

Simplify the following surd...

• 5√5

• 3√5

• 15√3

• 5√3

Simplify the following surd...

• 7√7

• 3√7

• 9√7

• 7√3