Surds

• Rationalizing Denominators with Surds


  In scientific notation, it is common to rationalize the denominator of a fraction when it contains a surd
• Rationalizing Denominator


  Multiply both the numerator and denominator by the surd in the denominator
• Surds


  Numbers that cannot be simplified to rational numbers and are left in root form
• Surds


  • √2
  • √3
  • √23
  • 3√2
  • 5√3
• Simplification of Surds

  1. Look for factors that are square numbers

  2. Write the square root of the square number multiplied by the square root of the remaining number

  3. Simplify the square root of the square number