Solved $$\root 4 \of {{{\left( {625} \right)}^3}} = ?$$
A. $$\root 3 \of {1875} $$
B. 25
C. 125
D. None of these
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & {\text{Given,}} \cr & = \root 4 \of {{{\left( {625} \right)}^3}} \cr & = {\left( {625} \right)^{\frac{3}{4}}} \cr & = {\left( {5 \times 5 \times 5 \times 5} \right)^{\frac{3}{4}}} \cr & = {\left( {{5^4}} \right)^{\frac{3}{4}}} \cr & = {5^3} \cr & = 125 \cr} $$This Question Belongs to Arithmetic Ability >> Square Root And Cube Root
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