Question

Find the cube root of 941192 by prime factorization method

Answer 1

Answer:

$\sqrt[3]{941192}= 98$

Step-by-step explanation:

we have

2| 941192

____________

2| 470596

____________

2| 235298

____________

7| 117649

____________

7| 16807

____________

7| 2401

____________

7| 343

____________

7| 49

____________

** 7

$941192 = 2^{3} \times 7^{6}$

$Now,\\\sqrt[3]{941192}=\sqrt[3]{2^{3}\times 7^{6}}\\=2\times 7^{2}\\=2\times 49\\=98$

Therefore,

$\sqrt[3]{941192}= 98$

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Answer 2

Answer:

98 is a cube root of 941192

Step-by-step explanation:

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