11 x1 t02 04 rationalising the denominator (2012)

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Nigel Simmons

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Rationalising the Denominator
4
e.g.  i 
2

Rationalising the Denominator
4 4 2
e.g.  i   
2 2 2

Rationalising the Denominator
4 4 2
e.g.  i   
2 2 2
4 2

2
2 2

Rationalising the Denominator
4 4 2 3
e.g.  i     ii 
2 2 2 2 5
4 2

2
2 2

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2

2
2 2

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2 3 5
 
2 10
2 2

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2 3 5
 
2 10
2 2

3
 iii 
2 1

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2 3 5
 
2 10
2 2

3 3 2 1
 iii   
2 1 2 1 2 1

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2 3 5
 
2 10
2 2

3 3 2 1
 iii   
2 1 2 1 2 1
3 2 3

2 1
 3 23

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2 3 5
 
2 10
2 2

3 3 2 1 2 3
 iii     iv 
2 1 2 1 2 1 2 3
3 2 3

2 1
 3 23

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2 3 5
 
2 10
2 2

3 3 2 1 2 3 2 3 2 3
 iii     iv   
2 1 2 1 2 1 2 3 2 3 2 3
3 2 3

2 1
 3 23

Rationalising the Denominator
4 4 2 3
e.g.  i     ii  
3

5
2 2 2 2 5 2 5 5
4 2 3 5
 
2 10
2 2

3 3 2 1 2 3 2 3 2 3
 iii     iv   
2 1 2 1 2 1 2 3 2 3 2 3
3 2 3 44 33
 
2 1 43
 3 23 74 3

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

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11 x1 t02 04 rationalising the denominator (2012)

1. Rationalising the Denominator

2. Rationalising the Denominator 4 e.g.  i  2

3. Rationalising the Denominator 4 4 2 e.g.  i    2 2 2

4. Rationalising the Denominator 4 4 2 e.g.  i    2 2 2 4 2  2 2 2

5. Rationalising the Denominator 4 4 2 3 e.g.  i     ii  2 2 2 2 5 4 2  2 2 2

6. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2  2 2 2

7. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2 3 5   2 10 2 2

8. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2 3 5   2 10 2 2 3  iii  2 1

9. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2 3 5   2 10 2 2 3 3 2 1  iii    2 1 2 1 2 1

10. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2 3 5   2 10 2 2 3 3 2 1  iii    2 1 2 1 2 1 3 2 3  2 1  3 23

11. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2 3 5   2 10 2 2 3 3 2 1 2 3  iii     iv  2 1 2 1 2 1 2 3 3 2 3  2 1  3 23

12. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2 3 5   2 10 2 2 3 3 2 1 2 3 2 3 2 3  iii     iv    2 1 2 1 2 1 2 3 2 3 2 3 3 2 3  2 1  3 23

13. Rationalising the Denominator 4 4 2 3 e.g.  i     ii   3  5 2 2 2 2 5 2 5 5 4 2 3 5   2 10 2 2 3 3 2 1 2 3 2 3 2 3  iii     iv    2 1 2 1 2 1 2 3 2 3 2 3 3 2 3 44 33   2 1 43  3 23 74 3

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

11 x1 t02 04 rationalising the denominator (2012)

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