Background Knowledge By the end of this lesson you will be able to explain/calculate the following: 1.Surds 2.Radicals.

Surds And RadicalsBackground Knowledge

By the end of this lesson you will be able to explain/calculate the following:1. Surds2. Radicals

Surds and RadicalsA radical is any number which is

written with the radical sign A surd is a real, irrational radical

such as

Surds are present in solutions to some quadratic equations.

is a radical but is not a surd as it simplifies to 2.

6 and 5,3,2

4

a

Surds and Radicals - Properties is the non-negative number such

that

is never negative, so is meaningful only for for for

0aa

aaa a

baab

b

a

b

a 0 and 0 ba

0 and 0 ba0a

Worked Example 1

3

6

18

6

18

6

3232

Exercise A

Worked Example 2

38

3)53(3533

23

2)52(2522

Exercise A

Worked Example 3

23

2929

Factorise 18 with the highest possible square factor

Exercise A

Worked Example 4

35

315310

335352

3953252275752

Exercise A

Worked Example 5

33

3

39

3

3

3

9

3

9

Exercise A