Issolvi {c}{27+16-24sqrt{3}+9+48-24sqrt{3}}{-2*(9sqrt{3}+16sqrt{3}-12-36)*frac{sqrt{3}}{2}}

$$\left. \begin{array} { c } { 27 + 16 - 24 \sqrt { 3 } + 9 + 48 - 24 \sqrt { 3 } } \\ { - 2 \times ( 9 \sqrt { 3 } + 16 \sqrt { 3 } - 12 - 36 ) \times \frac { \sqrt { 3 } } { 2 } } \end{array} \right.$$

Evalwa

$$25$$

Passi tas-Soluzzjonijiet

Żid 27 u 16 biex tikseb 43.

$$43-24\sqrt{3}+9+48-24\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Żid 43 u 9 biex tikseb 52.

$$52-24\sqrt{3}+48-24\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Żid 52 u 48 biex tikseb 100.

$$100-24\sqrt{3}-24\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Ikkombina -24\sqrt{3} u -24\sqrt{3} biex tikseb -48\sqrt{3}.

$$100-48\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Ikkombina 9\sqrt{3} u 16\sqrt{3} biex tikseb 25\sqrt{3}.

$$100-48\sqrt{3}-2\left(25\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Naqqas 36 minn -12 biex tikseb -48.

$$100-48\sqrt{3}-2\left(25\sqrt{3}-48\right)\times \frac{\sqrt{3}}{2}$$

Annulla 2 u 2.

$$100-48\sqrt{3}-\sqrt{3}\left(25\sqrt{3}-48\right)$$

Uża l-propjetà distributtiva biex timmultiplika \sqrt{3} b'25\sqrt{3}-48.

$$100-48\sqrt{3}-\left(25\left(\sqrt{3}\right)^{2}-48\sqrt{3}\right)$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$100-48\sqrt{3}-\left(25\times 3-48\sqrt{3}\right)$$

Immultiplika 25 u 3 biex tikseb 75.

$$100-48\sqrt{3}-\left(75-48\sqrt{3}\right)$$

Biex issib l-oppost ta' 75-48\sqrt{3}, sib l-oppost ta' kull terminu.

$$100-48\sqrt{3}-75-\left(-48\sqrt{3}\right)$$

Naqqas 75 minn 100 biex tikseb 25.

$$25-48\sqrt{3}-\left(-48\sqrt{3}\right)$$

L-oppost ta' -48\sqrt{3} huwa 48\sqrt{3}.

$$25-48\sqrt{3}+48\sqrt{3}$$

Ikkombina -48\sqrt{3} u 48\sqrt{3} biex tikseb 0.

$$25$$

Fattur

$$5^{2}$$