Multiplying radicals

Multiplying radicals

It requires 2 steps to multiply radicals. First is to multiply the numbers inside the radical sign, the radicands, together. Second is to multiply the numbers outside the radical sign together. Don’t forget that only radicals with the same index can be combined through multiplication!

Lessons

  • 2.
    Multiplying Radicals
    Multiply and simplify.
    • b)
      (28)(518)\left( {2\sqrt 8 } \right)\left( {5\sqrt {18} } \right)
    • c)
      (5x)(6y)\left( {5\sqrt x } \right)\left( {6\sqrt y } \right)
    • d)
      33\sqrt {3} \cdot \sqrt {3}
  • 3.
    Expand and simplify.
    • a)
      3(563)\sqrt 3 \;\left( {5\sqrt 6 - \sqrt 3 } \right)
    • c)
      3(27)3(1221)3\;\left( {\sqrt 2 - \sqrt 7 } \right) - \sqrt 3 \left( {\sqrt {12} -\sqrt {21} } \right)
    • d)
      3x(x5y)-3\sqrt x\;\left( {\sqrt x -5 \sqrt y } \right)
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Multiplying radicals

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