Single Choice

Find the cube root of $$250047$$ using prime factorization:

A$$63$$
Correct Answer
B$$61$$
C$$67$$
D$$65$$

Solution

$$\displaystyle \therefore \quad 250047={ \left( 3 \right) }^{ 6 }\times { \left( 7 \right) }^{ 3 }$$
$$\displaystyle \therefore \quad \sqrt [ 3 ]{ 250047 } ={ 3 }^{ 2 }\times 7=63$$

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