Surds

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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
    • Multiplying surds
      • /ab = /a * /b
      • (a+b)(c+d) = ac+bc+bd+cd
      • 1: Multiply rational factors
        • 2: Multiply irrational factors
          • 3: Simplify
    • 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

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