Whakaoti i te sqrt{48}+2sqrt{75}-3sqrt{27}

$$\sqrt { 48 } + 2 \sqrt { 75 } - 3 \sqrt { 27 }$$

Aromātai

$$5\sqrt{3}\approx 8.660254038$$

Ngā Upane Otinga

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}.

$$4\sqrt{3}+2\sqrt{75}-3\sqrt{27}$$

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}.

$$4\sqrt{3}+2\times 5\sqrt{3}-3\sqrt{27}$$

Whakareatia te 2 ki te 5, ka 10.

$$4\sqrt{3}+10\sqrt{3}-3\sqrt{27}$$

Pahekotia te 4\sqrt{3} me 10\sqrt{3}, ka 14\sqrt{3}.

$$14\sqrt{3}-3\sqrt{27}$$

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}.

$$14\sqrt{3}-3\times 3\sqrt{3}$$

Whakareatia te -3 ki te 3, ka -9.

$$14\sqrt{3}-9\sqrt{3}$$

Pahekotia te 14\sqrt{3} me -9\sqrt{3}, ka 5\sqrt{3}.

$$5\sqrt{3}$$