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

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

Enrhifo

$$25$$

Camau Ateb

Adio 27 a 16 i gael 43.

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

Adio 43 a 9 i gael 52.

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

Adio 52 a 48 i gael 100.

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

Cyfuno -24\sqrt{3} a -24\sqrt{3} i gael -48\sqrt{3}.

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

Cyfuno 9\sqrt{3} a 16\sqrt{3} i gael 25\sqrt{3}.

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

Tynnu 36 o -12 i gael -48.

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

Canslo 2 a 2.

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

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{3} â 25\sqrt{3}-48.

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

Sgwâr \sqrt{3} yw 3.

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

Lluosi 25 a 3 i gael 75.

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

I ddod o hyd i wrthwyneb 75-48\sqrt{3}, dewch o hyd i wrthwyneb pob term.

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

Tynnu 75 o 100 i gael 25.

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

Gwrthwyneb -48\sqrt{3} yw 48\sqrt{3}.

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

Cyfuno -48\sqrt{3} a 48\sqrt{3} i gael 0.

$$25$$

Ffactor

$$5^{2}$$