Find the cube root of $614125$ using prime factorization:

65

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75

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85

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95

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Solution

The correct option is B $85$
On prime factorising, we get,
$614125 = 5 \times 5 \times 5 \times 17 \times 17 \times 17$
$= 5^{3} \times 17^{3}$ .

Then, cube root of $614125$ is:
$\sqrt[3]{614125} = \sqrt[3]{5^{3} \times 17^{3}} = 5 \times 17 = 85$ .

Therefore, option $C$ is correct.

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Find the cube root of 614125 using prime factorization:

The correct option is B 85On prime factorising, we get,614125=5×5×5×17×17×17 =53×173.Then, cube root of 614125 is:3√614125=3√53×173=5×17=85.Therefore, option C is correct.

Find the cube root of $614125$ using prime factorization:

The correct option is B $85$
On prime factorising, we get,
$614125 = 5 \times 5 \times 5 \times 17 \times 17 \times 17$
$= 5^{3} \times 17^{3}$ .

Then, cube root of $614125$ is:
$\sqrt[3]{614125} = \sqrt[3]{5^{3} \times 17^{3}} = 5 \times 17 = 85$ .

Therefore, option $C$ is correct.