Multiplying and dividing radicals

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Intros
Lessons
  2. How to simplify radicals?
    • What is a radical?
    • How to multiply radicals?
    • How to divide radicals?
    • General rules when we are dealing with variables in radicals
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Examples
Lessons
  1. Write the following as a single radical = x \sqrt{x}
    1. 3×8 \sqrt{3} \times \sqrt{8}
    2. 7×11\sqrt{7 \times 11}
    3. 15015 \sqrt{150} \over \sqrt{15}
    4. (20×5)64\frac{( \sqrt{20} \times \sqrt{5})} {\sqrt{64}}
  2. Express the following radicals as a product of radicals
    1. 45 \sqrt{45}
    2. - 77 \sqrt{77}
  3. Multiplying and dividing radicals
    1. -42 \sqrt{2} * - 2 \sqrt{2}
    2. 52 \sqrt{2} * 6 10\sqrt{10} * 7 50\sqrt{50}
    3. 3\sqrt{3 } ( 8+4)\sqrt{8} + 4)
    4. (4 10 \sqrt{10 } - 3 6\sqrt{6} )(5 2−5)\sqrt{2 } - \sqrt{5} )
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Practice
Topic Notes
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Before doing any multiplication or division, we need to make sure the indices are the same. Multiplying radicals is simply multiplying the numbers inside the radical sign, the radicands, together. When dividing radicals, you can put both the numerator and denominator inside the same square roots.
Basic Concepts
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Related Concepts
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