Surds

Surds

A surd is an irrational number. It is any number that includes a radical symbol, , and cannot be calculated exactly.

Surds

A surd is an irrational number. It is any number that includes a radical symbol, , and cannot be calculated exactly.

Surd Laws

1) a b ab

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i 25 2 5 2

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i 25 2 5 2

3ii x

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i 25 2 5 2

3ii x 2x x x x

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i 25 2 5 2

3ii x 2x x x x

54

iii

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i 25 2 5 2

3ii x 2x x x x

54

iii 52

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i 25 2 5 2

3ii x 2x x x x

54

iii 52

20 9

iv

Surds

A surd is an irrational number. It is any number that includes a radical symbol,

2) a abb

, and cannot be calculated exactly.

Surd Laws

1) a b ab

23) a a

e.g. 50i 25 2 5 2

3ii x 2x x x x

54

iii 52

20 9

iv 2 53

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

3 2 6 3ii

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

18 3 3 6 2 6

3 2 6 3ii

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

18 3 3 6 2 6

3 2 6 3ii

2 1 2 1iii

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

18 3 3 6 2 6

3 2 6 3ii

2 1 2 1iii conjugate surds

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

18 3 3 6 2 6

3 2 6 3ii

2 1 2 1 2 1iii

1

conjugate surds

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

18 3 3 6 2 6

3 2 6 3ii

2 1 2 1 2 1iii

1

conjugate surds

22 2iv

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

18 3 3 6 2 6

3 2 6 3ii

2 1 2 1 2 1iii

1

conjugate surds

4 4 2 2

22 2iv

6 4 2

3 3 8 2

Surd ArithmeticLike surds can be added or subtracted, unlike surds cannot

e.g. 4 3 6 2 3 2 2i

18 3 3 6 2 6

3 2 6 3ii

2 1 2 1 2 1iii

1

conjugate surds

4 4 2 2

22 2iv

6 4 2

Exercise 2C; 1, 2adgj, 3behkm, 4adgj, 5ace,6behk, 8, 10beh, 11ac, 12bdfh, 13aceg,

14afil, 15bdh, 16ac, 18ce,19*