Whakaoti i te sqrt{10}(sqrt{5}+3sqrt{2})

$$\sqrt { 10 } ( \sqrt { 5 } + 3 \sqrt { 2 } )$$

Aromātai

$$\sqrt{5}\left(\sqrt{10}+6\right)\approx 20.487475677$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{10} ki te \sqrt{5}+3\sqrt{2}.

$$\sqrt{10}\sqrt{5}+3\sqrt{10}\sqrt{2}$$

Tauwehea te 10=5\times 2. Tuhia anō te pūtake rua o te hua \sqrt{5\times 2} hei hua o ngā pūtake rua \sqrt{5}\sqrt{2}.

$$\sqrt{5}\sqrt{2}\sqrt{5}+3\sqrt{10}\sqrt{2}$$

Whakareatia te \sqrt{5} ki te \sqrt{5}, ka 5.

$$5\sqrt{2}+3\sqrt{10}\sqrt{2}$$

Tauwehea te 10=2\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2\times 5} hei hua o ngā pūtake rua \sqrt{2}\sqrt{5}.

$$5\sqrt{2}+3\sqrt{2}\sqrt{5}\sqrt{2}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$5\sqrt{2}+3\times 2\sqrt{5}$$

Whakareatia te 3 ki te 2, ka 6.

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