Solve 438^2-(20sqrt{7})^2-sqrt{3}.43

$$438 ^ { 2 } - ( 20 \sqrt { 7 } ) ^ { 2 } - \sqrt { 3 } . 43$$

Evaluate

$$189044-\sqrt{3}\approx 189042.267949192$$

Solution Steps

Calculate 438 to the power of 2 and get 191844.

$$191844-\left(20\sqrt{7}\right)^{2}-\sqrt{3}$$

Expand \left(20\sqrt{7}\right)^{2}.

$$191844-20^{2}\left(\sqrt{7}\right)^{2}-\sqrt{3}$$

Calculate 20 to the power of 2 and get 400.

$$191844-400\left(\sqrt{7}\right)^{2}-\sqrt{3}$$

The square of \sqrt{7} is 7.

$$191844-400\times 7-\sqrt{3}$$

Multiply 400 and 7 to get 2800.

$$191844-2800-\sqrt{3}$$

Subtract 2800 from 191844 to get 189044.

$$189044-\sqrt{3}$$