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

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

Luacháil

$$25$$

Céimeanna Réitigh

Suimigh 27 agus 16 chun 43 a fháil.

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

Suimigh 43 agus 9 chun 52 a fháil.

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

Suimigh 52 agus 48 chun 100 a fháil.

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

Comhcheangail -24\sqrt{3} agus -24\sqrt{3} chun -48\sqrt{3} a fháil.

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

Comhcheangail 9\sqrt{3} agus 16\sqrt{3} chun 25\sqrt{3} a fháil.

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

Dealaigh 36 ó -12 chun -48 a fháil.

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

Cealaigh 2 agus 2.

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

Úsáid an t-airí dáileach chun \sqrt{3} a mhéadú faoi 25\sqrt{3}-48.

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

Is é 3 uimhir chearnach \sqrt{3}.

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

Méadaigh 25 agus 3 chun 75 a fháil.

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

Chun an mhalairt ar 75-48\sqrt{3} a aimsiú, aimsigh an mhalairt ar gach téarma.

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

Dealaigh 75 ó 100 chun 25 a fháil.

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

Tá 48\sqrt{3} urchomhairleach le -48\sqrt{3}.

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

Comhcheangail -48\sqrt{3} agus 48\sqrt{3} chun 0 a fháil.

$$25$$

Fachtóirigh

$$5^{2}$$