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$$\root 3 \of {{{\left( {333} \right)}^3} + {{\left( {333} \right)}^3} + {{\left( {334} \right)}^3} - 3 \times 333 \times 333 \times 334} $$           is equal to = ?

$$\root 3 \of {{{\left( {333} \right)}^3} + {{\left( {333} \right)}^3} + {{\left( {334} \right)}^3} - 3 \times 333 \times 333 \times 334} $$           is equal to = ? Correct Answer 10

According to question
$$\root 3 \of {{{\left( {333} \right)}^3} + {{\left( {333} \right)}^3} + {{\left( {334} \right)}^3} - 3 \times 333 \times 333 \times 334} $$
As we know that
a3 + b3 + c3 - 3abc
= $$\frac{1}{2}$$ (a + b + c)
= $$\frac{1}{2}$$ (333 + 333 + 334)
= $$\frac{1}{2}$$ × 1000
= $$\frac{1}{2}$$ × 1000 × 2
= $$\root 3 \of {1000} $$
= 10

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