Whakaoti i te [-7sqrt{3/7}]^2

$$[ - 7 \sqrt { \frac { 3 } { 7 } } ] ^ { 2 }$$

Aromātai

$$21$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{3}{7}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{3}}{\sqrt{7}}.

$$\left(-7\times \frac{\sqrt{3}}{\sqrt{7}}\right)^{2}$$

Whakangāwaritia te tauraro o \frac{\sqrt{3}}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\left(-7\times \frac{\sqrt{3}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}\right)^{2}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\left(-7\times \frac{\sqrt{3}\sqrt{7}}{7}\right)^{2}$$

Hei whakarea \sqrt{3} me \sqrt{7}, whakareatia ngā tau i raro i te pūtake rua.

$$\left(-7\times \frac{\sqrt{21}}{7}\right)^{2}$$

Me whakakore te 7 me te 7.

$$\left(-\sqrt{21}\right)^{2}$$

Whakarohaina te \left(-\sqrt{21}\right)^{2}.

$$\left(-1\right)^{2}\left(\sqrt{21}\right)^{2}$$

Tātaihia te -1 mā te pū o 2, kia riro ko 1.

$$1\left(\sqrt{21}\right)^{2}$$

Ko te pūrua o \sqrt{21} ko 21.

$$1\times 21$$

Whakareatia te 1 ki te 21, ka 21.

$$21$$

Tauwehe

$$3\times 7$$