Whakaoti i te 6/sqrt{72}+8/sqrt{32}

$$\frac{ 6 }{ \sqrt{ 72 } } + \frac{ 8 }{ \sqrt{ 32 } }$$

Aromātai

$$\frac{3\sqrt{2}}{2}\approx 2.121320344$$

Ngā Upane Otinga

Tauwehea te 72=6^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{6^{2}\times 2} hei hua o ngā pūtake rua \sqrt{6^{2}}\sqrt{2}. Tuhia te pūtakerua o te 6^{2}.

$$\frac{6}{6\sqrt{2}}+\frac{8}{\sqrt{32}}$$

Whakangāwaritia te tauraro o \frac{6}{6\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{6\sqrt{2}}{6\left(\sqrt{2}\right)^{2}}+\frac{8}{\sqrt{32}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{6\sqrt{2}}{6\times 2}+\frac{8}{\sqrt{32}}$$

Me whakakore tahi te 6 i te taurunga me te tauraro.

$$\frac{\sqrt{2}}{2}+\frac{8}{\sqrt{32}}$$

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}.

$$\frac{\sqrt{2}}{2}+\frac{8}{4\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{8}{4\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{\sqrt{2}}{2}+\frac{8\sqrt{2}}{4\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{\sqrt{2}}{2}+\frac{8\sqrt{2}}{4\times 2}$$

Me whakakore tahi te 2\times 4 i te taurunga me te tauraro.

$$\frac{\sqrt{2}}{2}+\sqrt{2}$$

Pahekotia te \frac{\sqrt{2}}{2} me \sqrt{2}, ka \frac{3}{2}\sqrt{2}.

$$\frac{3}{2}\sqrt{2}$$