11 x1 t02 04 rationalising the denominator (2013)

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Page 1: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator

Page 2: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i

Page 3: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

Page 4: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

Page 5: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii

Page 6: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

Page 7: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

3 510

Page 8: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

3 510

3 2 1

iii

Page 9: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

3 510

3 2 1

iii

3 2 12 1 2 1

Page 10: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

3 510

3 2 1

iii

3 2 12 1 2 1

3 2 3

2 1

3 2 3

Page 11: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

3 510

3 2 1

iii

3 2 12 1 2 1

3 2 3

2 1

3 2 3

2 3 2 3

iv

Page 12: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

3 510

3 2 1

iii

3 2 12 1 2 1

3 2 3

2 1

3 2 3

2 3 2 3

iv

2 3 2 32 3 2 3

Page 13: 11 x1 t02 04 rationalising the denominator (2013)

Rationalising the Denominator 4e.g.

2i 4 2

2 2

4 22

2 2

3 2 5

ii 3 52 5 5

3 510

3 2 1

iii

3 2 12 1 2 1

3 2 3

2 1

3 2 3

2 3 2 3

iv

2 3 2 32 3 2 3

4 4 3 34 3

7 4 3

Page 14: 11 x1 t02 04 rationalising the denominator (2013)

Exercise 2D; 1adh, 2bdf, 3adg, 4beh, 5cfilor, 6a,7b, 9bc, 10abc, 12*a, 14, 15