Whakaoti i te 5*sqrt{75}-8*sqrt{48}+3*sqrt{27}=

$$5 \cdot \sqrt { 75 } - 8 \cdot \sqrt { 48 } + 3 \cdot \sqrt { 27 } =$$

Aromātai

$$2\sqrt{3}\approx 3.464101615$$

Ngā Upane Otinga

Tauwehea te 75=5^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 3} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{3}. Tuhia te pūtakerua o te 5^{2}.

$$5\times 5\sqrt{3}-8\sqrt{48}+3\sqrt{27}$$

Whakareatia te 5 ki te 5, ka 25.

$$25\sqrt{3}-8\sqrt{48}+3\sqrt{27}$$

Tauwehea te 48=4^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 3} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{3}. Tuhia te pūtakerua o te 4^{2}.

$$25\sqrt{3}-8\times 4\sqrt{3}+3\sqrt{27}$$

Whakareatia te -8 ki te 4, ka -32.

$$25\sqrt{3}-32\sqrt{3}+3\sqrt{27}$$

Pahekotia te 25\sqrt{3} me -32\sqrt{3}, ka -7\sqrt{3}.

$$-7\sqrt{3}+3\sqrt{27}$$

Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.

$$-7\sqrt{3}+3\times 3\sqrt{3}$$

Whakareatia te 3 ki te 3, ka 9.

$$-7\sqrt{3}+9\sqrt{3}$$

Pahekotia te -7\sqrt{3} me 9\sqrt{3}, ka 2\sqrt{3}.

$$2\sqrt{3}$$