# Surds

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- Created by: bethfrench99
- Created on: 23-09-15 20:47

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- Surds
- Rule 1
- /ab = /a * /b

- Rule 2
- Square root(a/b) = square root'a' / square root'b'

- Like and unlike surds
- Like surds have the same irrational factor
- Like surds can be collected together

- Unlike surds don't have the same irrational factor
- Unlike surds cannot be collected together

- Like surds have the same irrational factor
- Multiplying surds
- /ab = /a * /b
- (a+b)(c+d) = ac+bc+bd+cd
- 1: Multiply rational factors
- 2: Multiply irrational factors
- 3: Simplify

- 2: Multiply irrational factors

- Rationalising the denominator
- Multiply the top and bottom by the denominator (called the conjugate)
- /a: multiply by /a
- a+/b: multiply by a-/b
- a-/b: multiply by a+/b
- /a+/b: multiply by /a-/b
- /a-/b: multiply by /a+/b

- Multiply the top and bottom by the denominator (called the conjugate)

- Rule 1

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