Whakaoti i te frac{1-sqrt{48}}{-3sqrt{3}}

$$\frac{ 1- \sqrt{ 48 } }{ -3 \sqrt{ 3 } }$$

Aromātai

$$-\frac{\sqrt{3}}{9}+\frac{4}{3}\approx 1.140883244$$

Ngā Upane Otinga

Tauwehea te 48=4^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 3} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{3}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{1-4\sqrt{3}}{-3\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{1-4\sqrt{3}}{-3\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\left(1-4\sqrt{3}\right)\sqrt{3}}{-3\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\left(1-4\sqrt{3}\right)\sqrt{3}}{-3\times 3}$$

Whakareatia te -3 ki te 3, ka -9.

$$\frac{\left(1-4\sqrt{3}\right)\sqrt{3}}{-9}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1-4\sqrt{3} ki te \sqrt{3}.

$$\frac{\sqrt{3}-4\left(\sqrt{3}\right)^{2}}{-9}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\sqrt{3}-4\times 3}{-9}$$

Whakareatia te -4 ki te 3, ka -12.

$$\frac{\sqrt{3}-12}{-9}$$

Me whakarea tahi te taurunga me te tauraro ki te -1.

$$\frac{-\sqrt{3}+12}{9}$$