Whakaoti i te 2sqrt{3}-11^2-(sqrt{3}+2)^2

$$2 \sqrt { 3 } - 11 ^ { 2 } - ( \sqrt { 3 } + 2 ) ^ { 2 }$$

Aromātai

$$-2\sqrt{3}-128\approx -131.464101615$$

Ngā Upane Otinga

Tātaihia te 11 mā te pū o 2, kia riro ko 121.

$$2\sqrt{3}-121-\left(\sqrt{3}+2\right)^{2}$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(\sqrt{3}+2\right)^{2}.

$$2\sqrt{3}-121-\left(\left(\sqrt{3}\right)^{2}+4\sqrt{3}+4\right)$$

Ko te pūrua o \sqrt{3} ko 3.

$$2\sqrt{3}-121-\left(3+4\sqrt{3}+4\right)$$

Tāpirihia te 3 ki te 4, ka 7.

$$2\sqrt{3}-121-\left(7+4\sqrt{3}\right)$$

Hei kimi i te tauaro o 7+4\sqrt{3}, kimihia te tauaro o ia taurangi.

$$2\sqrt{3}-121-7-4\sqrt{3}$$

Tangohia te 7 i te -121, ka -128.

$$2\sqrt{3}-128-4\sqrt{3}$$

Pahekotia te 2\sqrt{3} me -4\sqrt{3}, ka -2\sqrt{3}.

$$-2\sqrt{3}-128$$