Whakaoti i te frac{6sqrt{12}+2sqrt{30}+15sqrt{18}-5sqrt{45}}{39}

$$\frac{ 6 \sqrt{ 12 } +2 \sqrt{ 30 } +15 \sqrt{ 18 } -5 \sqrt{ 45 } }{ 39 }$$

Aromātai

$$\frac{2\sqrt{30}}{39}+\frac{4\sqrt{3}}{13}+\frac{15\sqrt{2}}{13}-\frac{5\sqrt{5}}{13}\approx 1.585580807$$

Ngā Upane Otinga

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{6\times 2\sqrt{3}+2\sqrt{30}+15\sqrt{18}-5\sqrt{45}}{39}$$

Whakareatia te 6 ki te 2, ka 12.

$$\frac{12\sqrt{3}+2\sqrt{30}+15\sqrt{18}-5\sqrt{45}}{39}$$

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}.

$$\frac{12\sqrt{3}+2\sqrt{30}+15\times 3\sqrt{2}-5\sqrt{45}}{39}$$

Whakareatia te 15 ki te 3, ka 45.

$$\frac{12\sqrt{3}+2\sqrt{30}+45\sqrt{2}-5\sqrt{45}}{39}$$

Tauwehea te 45=3^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 5} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{5}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{12\sqrt{3}+2\sqrt{30}+45\sqrt{2}-5\times 3\sqrt{5}}{39}$$

Whakareatia te -5 ki te 3, ka -15.

$$\frac{12\sqrt{3}+2\sqrt{30}+45\sqrt{2}-15\sqrt{5}}{39}$$