Surds (Alyssa)

Multiple Choice

What is a surd?

• A recurring decimal

• An irrational number

• A fraction

• A rational number

Multiple Select

Select a surd.

• √2

• √4

• √99

• √20

Multiple Select

Which of the following are surds?

• $$\frac{\pi}{2}$$

• $$\sqrt{5}$$

• $$\left(\sqrt{17}\right)^2$$

• $$\sqrt{3}$$

• $$\sqrt{2}+1$$

Simplifying surds:

Another example:

Multiple Choice

Simplify the following surd...

• 6√2

• 2√6

• 8√2

• 4√6

Multiple Choice

Simplify the following radical: √32

• 3√2

• 4√8

• 16√2

• 4√2

Multiple Choice

Simplify fully: 
√120

• 4√30

• 2√30

• 12√10

• 6√10

Multiple Choice

Simplify fully: 
√216

• 2√108

• 4√54

• 6√6

• 18√6

Multiple Choice

Simplify:

• 1/5

• 20/100

• 2/10

• 1/√25

Fill in the Blank

Simplify $$\frac{\sqrt[]{42}}{\sqrt[]{6}}=\ \sqrt[]{}$$  

Fill in the Blank

Simplify $$\sqrt[]{3}\times\sqrt[]{11}=\sqrt[]{}$$