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

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

Aromātai

$$\frac{\sqrt{30}}{10}\approx 0.547722558$$

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}.

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

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{\sqrt{5}\sqrt{6}}{6}-\frac{\sqrt{2}}{\sqrt{15}}$$

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

$$\frac{\sqrt{30}}{6}-\frac{\sqrt{2}}{\sqrt{15}}$$

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

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

Ko te pūrua o \sqrt{15} ko 15.

$$\frac{\sqrt{30}}{6}-\frac{\sqrt{2}\sqrt{15}}{15}$$

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

$$\frac{\sqrt{30}}{6}-\frac{\sqrt{30}}{15}$$

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

$$\frac{1}{10}\sqrt{30}$$