Module 8 · Radicals · Lesson 35 of 39

Multiplying and dividing radicals

Multiply or divide the radicands under one root.

In this lesson · about 12 minutes

  • Multiply square roots
  • Divide square roots
  • Rationalize a denominator

Multiply: √a · √b = √ab. √3 · √2 = √6, and √5 · √5 = √25 = 5. A number in front just stays in front: (4√2) · √3 = 4√6.

Divide: √a√b = √ab. √6√3 = √2.

Rationalize the denominator: to get a root out of the bottom, multiply top and bottom by that root: 7√5 · √5√5 = 7√55.

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