Whakaoti i te (frac{sqrt{5}}{sqrt{6}}-frac{sqrt{2}}{sqrt{15}})^2

$$( \frac { \sqrt { 5 } } { \sqrt { 6 } } - \frac { \sqrt { 2 } } { \sqrt { 15 } } ) ^ { 2 }$$

Aromātai

$$\frac{3}{10}=0.3$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

$$\left(\frac{\sqrt{5}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}-\frac{\sqrt{2}}{\sqrt{15}}\right)^{2}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\left(\frac{\sqrt{5}\sqrt{6}}{6}-\frac{\sqrt{2}}{\sqrt{15}}\right)^{2}$$

Hei whakarea \sqrt{5} me \sqrt{6}, whakareatia ngā tau i raro i te pūtake rua.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{2}}{\sqrt{15}}\right)^{2}$$

Whakangāwaritia te tauraro o \frac{\sqrt{2}}{\sqrt{15}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{15}.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{2}\sqrt{15}}{\left(\sqrt{15}\right)^{2}}\right)^{2}$$

Ko te pūrua o \sqrt{15} ko 15.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{2}\sqrt{15}}{15}\right)^{2}$$

Hei whakarea \sqrt{2} me \sqrt{15}, whakareatia ngā tau i raro i te pūtake rua.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{30}}{15}\right)^{2}$$

Pahekotia te \frac{\sqrt{30}}{6} me -\frac{\sqrt{30}}{15}, ka \frac{1}{10}\sqrt{30}.

$$\left(\frac{1}{10}\sqrt{30}\right)^{2}$$

Whakarohaina te \left(\frac{1}{10}\sqrt{30}\right)^{2}.

$$\left(\frac{1}{10}\right)^{2}\left(\sqrt{30}\right)^{2}$$

Tātaihia te \frac{1}{10} mā te pū o 2, kia riro ko \frac{1}{100}.

$$\frac{1}{100}\left(\sqrt{30}\right)^{2}$$

Ko te pūrua o \sqrt{30} ko 30.

$$\frac{1}{100}\times 30$$

Whakareatia te \frac{1}{100} ki te 30, ka \frac{3}{10}.

$$\frac{3}{10}$$

Tauwehe

$$\frac{3}{2 \cdot 5} = 0.3$$