10.13 Multiplying radicals (advanced)

Multiplying radicals (advanced)

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.
    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 (advanced)

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