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

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

Calcular

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

Pasos da solución

Calcula 438 á potencia de 2 e obtén 191844.

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

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

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

Calcula 20 á potencia de 2 e obtén 400.

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

O cadrado de \sqrt{7} é 7.

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

Multiplica 400 e 7 para obter 2800.

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

Resta 2800 de 191844 para obter 189044.

$$189044-\sqrt{3}$$