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Fundamental Theorem of Arithmetic

Find the cube...

Question

Find the cube root of 9261.

A

31

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B

41

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C

21

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D

29

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Solution

The correct option is C 21
Prime factorization:
$9261 = 3 \times 3 \times 3 \times 7 \times 7 \times 7$

$\Rightarrow \sqrt[3]{9261} = 3 \times 7 = 21$

The correct option is C.

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Similar questions

Q. Find the cube root of 9261 through estimation.

Q. Find The cube roots of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that
(i) 3048625 = 3375 × 729
(ii) 20346417 = 9261 × 2197
(iii) 210644875 = 42875 × 4913
(iv) 57066625 = 166375 × 343

Which of the following are cubes of :

(i) an even number

(ii) an odd number

216,729,3375,8000,125,343,4096 and 9261.

Q. From the following numbers, choose the numbers that are the cubes of odd numbers:

125, 343, 1728, 4096, 9261

Q. Making use of the cube root table, find the cube root
8.6

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