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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Ikkalkula 438 bil-power ta' 2 u tikseb 191844.

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

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

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

Ikkalkula 20 bil-power ta' 2 u tikseb 400.

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

Il-kwadrat ta' \sqrt{7} huwa 7.

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

Immultiplika 400 u 7 biex tikseb 2800.

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

Naqqas 2800 minn 191844 biex tikseb 189044.

$$189044-\sqrt{3}$$