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Q.

The cube root of 9261 is ____.


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Detailed Solution

The cube root of 9261 is 21.
The given number is 9261.
Find prime factors of 9261.
3 9261 3 3087 3 1029 7 343 7 49 7 7          1    
  9261 3 = 3×3×3×7×7×7 3
Make three groups of factors.
  3×3×3×7×7×7 3 = 7×3 7×3 7×3 3 = 7×3 3 3
Simplify to get the cube root.
  9261 3 = 7×3 3 3 = 21 3 3 =21
∴ 9261 3 =21
Hence, the cube root of 926 is 21.
 
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The cube root of 9261 is ____.