T&T6: Ex2.7 & Ex2.8 Surds & Algebraic Surd Equations

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

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

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

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the following surd...

• 7√2

• 3√5

• 9√3

• 3√3

Fully simplify....

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

What should you multiply $\frac{6}{1-\sqrt{5}}$  by to rationalize the denominator?

• -4

•  $1-\sqrt{5}$  

•  $1+\sqrt{5}$  

•  $-\frac{\left(3-3\sqrt{5}\right)}{2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Rationalize the following: $\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}$  

•  $\frac{\sqrt{6}-\sqrt{10}}{8}$  

•  $\frac{\sqrt{6}-\sqrt{10}}{-2}$  

•  $\frac{\sqrt{6}+\sqrt{10}}{8}$  

•  $\frac{2\sqrt{3}+2\sqrt{5}}{-2}$  

Tags

CCSS.HSA.APR.D.6

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