Whakaoti i te 3sqrt{2}+5sqrt{18}+sqrt{72}+3sqrt{2}+10sqrt{2}

$$3 \sqrt { 2 } + 5 \sqrt { 18 } + \sqrt { 72 } + 3 \sqrt { 2 } + 10 \sqrt { 2 }$$

Aromātai

$$37\sqrt{2}\approx 52.325901808$$

Ngā Upane Otinga

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}.

$$3\sqrt{2}+5\times 3\sqrt{2}+\sqrt{72}+3\sqrt{2}+10\sqrt{2}$$

Whakareatia te 5 ki te 3, ka 15.

$$3\sqrt{2}+15\sqrt{2}+\sqrt{72}+3\sqrt{2}+10\sqrt{2}$$

Pahekotia te 3\sqrt{2} me 15\sqrt{2}, ka 18\sqrt{2}.

$$18\sqrt{2}+\sqrt{72}+3\sqrt{2}+10\sqrt{2}$$

Tauwehea te 72=6^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{6^{2}\times 2} hei hua o ngā pūtake rua \sqrt{6^{2}}\sqrt{2}. Tuhia te pūtakerua o te 6^{2}.

$$18\sqrt{2}+6\sqrt{2}+3\sqrt{2}+10\sqrt{2}$$

Pahekotia te 18\sqrt{2} me 6\sqrt{2}, ka 24\sqrt{2}.

$$24\sqrt{2}+3\sqrt{2}+10\sqrt{2}$$

Pahekotia te 24\sqrt{2} me 3\sqrt{2}, ka 27\sqrt{2}.

$$27\sqrt{2}+10\sqrt{2}$$

Pahekotia te 27\sqrt{2} me 10\sqrt{2}, ka 37\sqrt{2}.

$$37\sqrt{2}$$