Whakaoti i te 3sqrt{32}-5sqrt{8}

$$3 \sqrt { 32 } - 5 \sqrt { 8 }$$

Aromātai

$$2\sqrt{2}\approx 2.828427125$$

Ngā Upane Otinga

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}.

$$3\times 4\sqrt{2}-5\sqrt{8}$$

Whakareatia te 3 ki te 4, ka 12.

$$12\sqrt{2}-5\sqrt{8}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$12\sqrt{2}-5\times 2\sqrt{2}$$

Whakareatia te -5 ki te 2, ka -10.

$$12\sqrt{2}-10\sqrt{2}$$

Pahekotia te 12\sqrt{2} me -10\sqrt{2}, ka 2\sqrt{2}.

$$2\sqrt{2}$$