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12 August, 06:44

Combine and simplify these radicals. radical 8 * radical 20

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Answers (1)
  1. 12 August, 07:25
    0
    The answer to your question is √160 or 4√10

    Step-by-step explanation:

    Data

    √8 √20

    Combine the radicals

    As both radicals are square roots, just use one radical and place the numbers inside. Multiply 8 and 20

    √ 8 x 20

    Simplify

    √160

    Find the prime factors of 160

    160 2

    80 2

    40 2

    20 2

    10 2

    5 5

    1

    160 = 2⁵ 5

    Then √160 = √2⁵5

    = √ 2⁴2 5

    = 2²√ 2 5

    = 4√10
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