Whakaoti i te sqrt{48/10}

$$\sqrt { 4 \frac { 8 } { 10 } }$$

Aromātai

$$\frac{2\sqrt{30}}{5}\approx 2.19089023$$

Ngā Upane Otinga

Whakareatia te 4 ki te 10, ka 40.

$$\sqrt{\frac{40+8}{10}}$$

Tāpirihia te 40 ki te 8, ka 48.

$$\sqrt{\frac{48}{10}}$$

Whakahekea te hautanga \frac{48}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\sqrt{\frac{24}{5}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{24}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{24}}{\sqrt{5}}.

$$\frac{\sqrt{24}}{\sqrt{5}}$$

Tauwehea te 24=2^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 6} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{6}. Tuhia te pūtakerua o te 2^{2}.

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

Whakangāwaritia te tauraro o \frac{2\sqrt{6}}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

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

Ko te pūrua o \sqrt{5} ko 5.

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

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

$$\frac{2\sqrt{30}}{5}$$