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    • Question : Find the value of: $\sqrt[3]{–13824}$ Option 1: 38 Option 2: –38<p
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    Question : Find the value of: $\sqrt[3]{–13824}$

    Option 1: 38

    Option 2: –38

    Option 3: 24

    Option 4: –24

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    Team Careers360 12th Jan, 2024
    Answer
    Answer (1)
    Team Careers360 17th Jan, 2024

    Correct Answer: –24


    Solution : Here, 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
    = 2 3 × 2 3 × 2 3 × 3 3
    = (2 × 2 × 2 × 3) 3
    = (24) 3
    $\therefore \sqrt[3]{–13824}$ = –24
    Hence, the correct answer is –24.

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