Whakaoti i te =frac{sqrt{45}*sqrt{32}}{sqrt{360}}

$$= \frac { \sqrt { 45 } \times \sqrt { 32 } } { \sqrt { 360 } }$$

Aromātai

$$2$$

Ngā Upane Otinga

Tauwehea te 45=3^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 5} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{5}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{3\sqrt{5}\sqrt{32}}{\sqrt{360}}$$

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}.

$$\frac{3\sqrt{5}\times 4\sqrt{2}}{\sqrt{360}}$$

Whakareatia te 3 ki te 4, ka 12.

$$\frac{12\sqrt{5}\sqrt{2}}{\sqrt{360}}$$

Hei whakarea \sqrt{5} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{12\sqrt{10}}{\sqrt{360}}$$

Tauwehea te 360=6^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{6^{2}\times 10} hei hua o ngā pūtake rua \sqrt{6^{2}}\sqrt{10}. Tuhia te pūtakerua o te 6^{2}.

$$\frac{12\sqrt{10}}{6\sqrt{10}}$$

Me whakakore tahi te 6\sqrt{10} i te taurunga me te tauraro.

$$2$$

Tauwehe

$$2$$