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प्रश्न
Find the cube root of the following natural number 1157625 .
बेरीज
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उत्तर
Cube root by factors:
On factorising 1157625 into prime factors, we get:
\[1157625 = 3 \times 3 \times 3 \times 5 \times 5 \times 5 \times 7 \times 7 \times 7\]
Now, taking one factor from each triple, we get:
\[\sqrt[3]{1157625} = 3 \times 5 \times 7 = 105\]
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