11X1 T02 03 surds (2011)

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  • 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*

    Slide Number 1Slide Number 2Slide Number 3Slide Number 4Slide Number 5Slide Number 6Slide Number 7Slide Number 8Slide Number 9Slide Number 10Slide Number 11Slide Number 12Slide Number 13Slide Number 14Slide Number 15Slide Number 16Slide Number 17Slide Number 18Slide Number 19Slide Number 20Slide Number 21Slide Number 22Slide Number 23Slide Number 24