Whakaoti i te (-2+6)^2divsqrt{12/3}

$$( - 2 + 6 ) ^ { 2 } \div \sqrt { 1 \frac { 2 } { 3 } }$$

Aromātai

$$\frac{16\sqrt{15}}{5}\approx 12.393546708$$

Ngā Upane Otinga

Tāpirihia te -2 ki te 6, ka 4.

$$\frac{4^{2}}{\sqrt{\frac{1\times 3+2}{3}}}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{16}{\sqrt{\frac{1\times 3+2}{3}}}$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{16}{\sqrt{\frac{3+2}{3}}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{16}{\sqrt{\frac{5}{3}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{3}}.

$$\frac{16}{\frac{\sqrt{5}}{\sqrt{3}}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{16}{\frac{\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{16}{\frac{\sqrt{5}\sqrt{3}}{3}}$$

Hei whakarea \sqrt{5} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{16}{\frac{\sqrt{15}}{3}}$$

Whakawehe 16 ki te \frac{\sqrt{15}}{3} mā te whakarea 16 ki te tau huripoki o \frac{\sqrt{15}}{3}.

$$\frac{16\times 3}{\sqrt{15}}$$

Whakangāwaritia te tauraro o \frac{16\times 3}{\sqrt{15}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{15}.

$$\frac{16\times 3\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

Ko te pūrua o \sqrt{15} ko 15.

$$\frac{16\times 3\sqrt{15}}{15}$$

Whakareatia te 16 ki te 3, ka 48.

$$\frac{48\sqrt{15}}{15}$$

Whakawehea te 48\sqrt{15} ki te 15, kia riro ko \frac{16}{5}\sqrt{15}.

$$\frac{16}{5}\sqrt{15}$$