Surds Review

Is $\sqrt{2}$ rational or irrational?

• rational

• irrational

Is  $\sqrt{64}$ rational or irrational?

• rational

• irrational

The following are considered as surds except

• $\sqrt{32}$

• $\sqrt{81}$

• $3\sqrt{5}$

• $\frac{1}{\sqrt{6}}$

Simplify the following surd...

• 3√2

• 2√3

• 9√2

• 3√6

Simplify the following surd...

• 10√2

• 8√2

• 2√8

• 5√8

Simplify:
 $\sqrt{5}\times\sqrt{6}$  

•  $2\sqrt{15}$  

•  $\sqrt{11}$  

•  $\sqrt{30}$  

•  $3\sqrt{10}$  

Fully simplify:
 $\sqrt{6}\times\sqrt{6}$  

•  $\sqrt{36}$  

•  $2\sqrt{3}$  

• 12

• 6

Fully simplify:  $2\sqrt{5}\times4\sqrt{12}$  

•  $8\sqrt{60}$  

•  $6\sqrt{60}$  

•  $16\sqrt{15}$  

•  $32\sqrt{15}$  

Divide and simplify. $\frac{\sqrt{36}}{\sqrt{9}}$  

• 4

• 6

• 2

•  $\frac{2}{3}$  

SImplify:

• 5√6

• 25√6

• √150

• 10√15

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2