Introducing Surds and Radicals

Introducing Surds and Radicals

What does this image show?

Lesson outcomes

• To understand surds and radicals

• To be able to multiply and divide surds

• To be able to simplify basic surds

Multiple Select

Which of these are Radicals?

• √81

• √ 1

• √48

• √100

Multiple Select

Which of these are Surds?

• √81

• √ 1

• √48

• √100

Multiple Choice

 $\sqrt{3}\times\sqrt{8}$  

•  $\sqrt{24}$  

•  $\sqrt{42}$  

•  $7$  

• 24

Multiple Choice

 $\sqrt{7}\times\sqrt{4}$  

•  $\sqrt{28}$  

•  $\sqrt{24}$  

•  $\sqrt{11}$  

• 28

Multiple Choice

 $\sqrt{3}\times\sqrt{6}$  

•  $\sqrt{18}$  

•  $\sqrt{42}$  

•  $\sqrt{9}$  

• 3

Poll

How many marks did you get?

• 0-2

• 3-4

• 5-6

• 7-8

Multiple Choice

 $\sqrt{36}\div\sqrt{9}$  

•  $\sqrt{8}$  

•  $\sqrt{2}$  

• 2

•  $\sqrt{3}$  

Multiple Choice

 $\sqrt{54}\div\sqrt{6}$  

•  $\sqrt{8}$  

•  $\sqrt{2}$  

• 2

•  $\sqrt{3}$  

Multiple Select

 $\sqrt{54}\div\sqrt{6}$  

•  $\sqrt{9}$  

•  $\sqrt{3}$  

• 3

•  $\sqrt{\frac{54}{6}}$  

Multiple Choice

 $\sqrt{21}\div\sqrt{7}$  

• 3

•  $\sqrt{3}$  

• 21

•  $\sqrt{4}$  

Multiple Choice

 $\frac{\sqrt{15}}{\sqrt{3}}$  

• 5

•  $\sqrt{12}$  

•  $\sqrt{5}$  

•  $\sqrt{3}$  

Poll

How many marks did you get?

• 0-2

• 3-4

• 5-6

• 7-8