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Further Calculations with Surds

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by

Mr Mattock

on 26 April 2016

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Transcript of Further Calculations with Surds

Further Calculations with Surds
Starter
Multiply out the following

(a) x(3y - 4)


(b) (4 - 5x)


(c) (2 - 3x)(2 + 3x)
Activity
The ? are the product of the connected vertices. Work out the value of each ?
L.O. - Complete more complex surd calculations, including division.
Starter
Multiply out the following

(a) x(3y - 4)


(b) (4 - 5x)


(c) (2 - 3x)(2 + 3x)
3xy - 4x
2
2
16 - 40x + 25x
4 - 9x
2
2
Multiplying Surds
Multiply out the following

(a) 5(3 7 - 4)


(b) (4 - 5 3)


(c) (2 - 3 2)(2 + 3 2)
2
Multiplying Surds
Multiply out the following

(a) 5(3 7 - 4)


(b) (4 - 5 3)


(c) (2 - 3 2)(2 + 3 2)
2
3 35 - 4 5
16 - 40 3 + 75 = 91 - 40 3
4 - 18 = - 16
Activity
The ? are the product of the connected vertices. Work out the value of each ?
Multiplying Surds
Divide the following by rationalising the denominator.

(a) 3 - 2 5
7

(b) 4 - 5 3
3 + 7 3

(c) 2 - 3 2
2 + 3 2
Multiplying Surds
Divide the following by rationalising the denominator.

(a) 3 - 2 5
7

(b) 4 - 5 3
3 + 7 3



(c) 2 - 3 2
2 + 3 2
7 (3 - 2 5)

3 7 - 2 35

7 x 7

7
(3 - 7 3)(4 - 5 3)
12 - 28 3 - 15 3 + 35 x 3
(3 - 7 3)(3 + 7 3)
9 - 147
117 - 43 3
-138
43 3 - 117
138
(2 - 3 2)(2 - 3 2)
4 - 12 2 + 9 x 2
(2 - 3 2)(2 + 3 2)
4 - 9 x 2
22 - 12 2
6 2 - 11
- 16
8
Activity
Activity
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example
Full transcript