Whakaoti i te 15sqrt{20}-02sqrt{45b^7}+5sqrt{500}-08sqrt{80b^7}

$$15 \sqrt { 20 } - 02 \sqrt { 45 b ^ { 7 } } + 5 \sqrt { 500 } - 08 \sqrt { 80 b ^ { 7 } }$$

Aromātai

$$80\sqrt{5}\approx 178.8854382$$

Ngā Upane Otinga

Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.

$$15\times 2\sqrt{5}-0\times 2\sqrt{45b^{7}}+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Whakareatia te 15 ki te 2, ka 30.

$$30\sqrt{5}-0\times 2\sqrt{45b^{7}}+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Whakareatia te 0 ki te 2, ka 0.

$$30\sqrt{5}-0\sqrt{45b^{7}}+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$30\sqrt{5}-0+5\sqrt{500}-0\times 8\sqrt{80b^{7}}$$

Tauwehea te 500=10^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{10^{2}\times 5} hei hua o ngā pūtake rua \sqrt{10^{2}}\sqrt{5}. Tuhia te pūtakerua o te 10^{2}.

$$30\sqrt{5}-0+5\times 10\sqrt{5}-0\times 8\sqrt{80b^{7}}$$

Whakareatia te 5 ki te 10, ka 50.

$$30\sqrt{5}-0+50\sqrt{5}-0\times 8\sqrt{80b^{7}}$$

Whakareatia te 0 ki te 8, ka 0.

$$30\sqrt{5}-0+50\sqrt{5}-0\sqrt{80b^{7}}$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$30\sqrt{5}-0+50\sqrt{5}-0$$

Whakareatia te -1 ki te 0, ka 0.

$$30\sqrt{5}+0+50\sqrt{5}-0$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$30\sqrt{5}+50\sqrt{5}-0$$

Pahekotia te 30\sqrt{5} me 50\sqrt{5}, ka 80\sqrt{5}.

$$80\sqrt{5}-0$$

Whakareatia te -1 ki te 0, ka 0.

$$80\sqrt{5}+0$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$80\sqrt{5}$$