Surds
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Surds. Simplifying Surds. 36. 27. 9 x 3. 9. 3. 3. 3. 6. x. Perfect Square!. x. 3. 3. Simplifying. 4. 8. 8. 4 x 2. 4 x 8. 2. 2. 8. 2. 2. 4. 16 x 2. 16. 32. 2. 2. 2. x. x. x. 2. 2. x. x. x. 4. 2. 2. x. 2. 4. 4. Multiply Surds. 12. 4 x 3. 6. 2.

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Surds

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Surds

Surds


Simplifying surds

Simplifying Surds

36

27

9 x 3

9

3

3

3

6

x

Perfect Square!

x

3

3


Simplifying

Simplifying

4

8

8

4 x 2

4 x 8

2

2

8

2

2

4

16 x 2

16

32

2

2

2

x

x

x

2

2

x

x

x

4

2

2

x

2

4

4


Multiply surds

Multiply Surds

12

4 x 3

6

2

6 x 2

4

3

3

3

then Simplify…

x

x

2

x

2


Multiply surds1

Multiply Surds

x

4

2

2

3

6

2 x 3

x

8

8


Adding and subtracting surds

Adding and Subtracting Surds


Expanding surds

Expanding Surds

-

2

4

4

+

4x3

2

2

4

12

2

2

2

2

2

3

4

3

3

6

8

4

16

-

+

8

4

16

x

2

-

+

-

8

+

4

32

-

8

+

4

2

32

x

-

8

+

8

32


Rationalising surds

RationalisingSurds

2

x

+

3

4

-

3

4

2

4

2

2

2

2

2

2

2

2

-

-

3

3

4

4

-

3

2

4

3

+

4

-

6

8

+

-

16

12

-

9

12


Rationalising surds1

RationalisingSurds

-

3

2

4

2

3

+

4

2

2

4

2

2

2

2

-

3

4

-

6

8

16 x 2

-

16

9

+

12

-

12

6

-

8

9

32

-


Rationalising surds2

RationalisingSurds

-

6

8

2

2

2

2

4

2

-

16

9

+

12

-

12

6

6

-

-

8

8

-23

9

32

-


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