Whakaoti i te 2/sqrt{3}+12/sqrt{27}+2sqrt{7}

$$\frac { 2 } { \sqrt { 3 } } + \frac { 12 } { \sqrt { 27 } } + 2 \sqrt { 7 }$$

Aromātai

$$2\left(\sqrt{3}+\sqrt{7}\right)\approx 8.755604237$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{2}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}+\frac{12}{\sqrt{27}}+2\sqrt{7}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{2\sqrt{3}}{3}+\frac{12}{\sqrt{27}}+2\sqrt{7}$$

Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{2\sqrt{3}}{3}+\frac{12}{3\sqrt{3}}+2\sqrt{7}$$

Whakangāwaritia te tauraro o \frac{12}{3\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{2\sqrt{3}}{3}+\frac{12\sqrt{3}}{3\left(\sqrt{3}\right)^{2}}+2\sqrt{7}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{2\sqrt{3}}{3}+\frac{12\sqrt{3}}{3\times 3}+2\sqrt{7}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{2\sqrt{3}}{3}+\frac{4\sqrt{3}}{3}+2\sqrt{7}$$

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

$$2\sqrt{3}+2\sqrt{7}$$

Tauwehe

$$2 {(\sqrt{3} + \sqrt{7})} = 8.755604237$$