Solve sqrt[3]{333^3+333^3+334^3-3*333*333*334}=?

$$\sqrt[ 3 ] { 333 ^ { 3 } + 333 ^ { 3 } + 334 ^ { 3 } - 3 \times 333 \times 333 \times 334 } = ?$$

Evaluate

$$10$$

Solution Steps

Calculate 333 to the power of 3 and get 36926037.

$$\sqrt[3]{36926037+333^{3}+334^{3}-3\times 333\times 333\times 334}$$

Calculate 333 to the power of 3 and get 36926037.

$$\sqrt[3]{36926037+36926037+334^{3}-3\times 333\times 333\times 334}$$

Add 36926037 and 36926037 to get 73852074.

$$\sqrt[3]{73852074+334^{3}-3\times 333\times 333\times 334}$$

Calculate 334 to the power of 3 and get 37259704.

$$\sqrt[3]{73852074+37259704-3\times 333\times 333\times 334}$$

Add 73852074 and 37259704 to get 111111778.

$$\sqrt[3]{111111778-3\times 333\times 333\times 334}$$

Multiply 3 and 333 to get 999.

$$\sqrt[3]{111111778-999\times 333\times 334}$$

Multiply 999 and 333 to get 332667.

$$\sqrt[3]{111111778-332667\times 334}$$

Multiply 332667 and 334 to get 111110778.

$$\sqrt[3]{111111778-111110778}$$

Subtract 111110778 from 111111778 to get 1000.

$$\sqrt[3]{1000}$$

Calculate \sqrt[3]{1000} and get 10.

$$10$$

Factor

$$2\times 5$$