Whakaoti i te frac{sqrt{3,2}-sqrt{1,8}}{sqrt{10}}

$$\frac { \sqrt { 3,2 } - \sqrt { 1,8 } } { \sqrt { 10 } }$$

Aromātai

$$\frac{\sqrt{2}}{10}\approx 0.141421356$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{\sqrt{3.2}-\sqrt{1.8}}{\sqrt{10}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{10}.

$$\frac{\left(\sqrt{3.2}-\sqrt{1.8}\right)\sqrt{10}}{\left(\sqrt{10}\right)^{2}}$$

Ko te pūrua o \sqrt{10} ko 10.

$$\frac{\left(\sqrt{3.2}-\sqrt{1.8}\right)\sqrt{10}}{10}$$

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{3.2}-\sqrt{1.8} ki te \sqrt{10}.

$$\frac{\sqrt{3.2}\sqrt{10}-\sqrt{1.8}\sqrt{10}}{10}$$

Hei whakarea \sqrt{3.2} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{32}-\sqrt{1.8}\sqrt{10}}{10}$$

Hei whakarea \sqrt{1.8} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{32}-\sqrt{18}}{10}$$

Tauwehea te 32=4^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 2} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{2}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{4\sqrt{2}-\sqrt{18}}{10}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{4\sqrt{2}-3\sqrt{2}}{10}$$

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

$$\frac{\sqrt{2}}{10}$$