Multiplying radicals (Advance) - Radicals

Multiplying radicals (Advance)

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)
Teacher pug

Multiplying radicals (Advance)

Don't just watch, practice makes perfect.

We have over 5380 practice questions in Algebra for you to master.