Multiplying and dividing radicals

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Intros
Lessons
  1. 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 25)\sqrt{2 } - \sqrt{5} )
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Practice