#SSC CGL

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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 (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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