Whakaoti i te 5sqrt{3}+2sqrt{27}+1/sqrt{3}

$$5 \sqrt{ 3 } +2 \sqrt{ 27 } + \frac{ 1 }{ \sqrt{ 3 } }$$

Aromātai

$$\frac{34\sqrt{3}}{3}\approx 19.629909152$$

Ngā Upane Otinga

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}.

$$5\sqrt{3}+2\times 3\sqrt{3}+\frac{1}{\sqrt{3}}$$

Whakareatia te 2 ki te 3, ka 6.

$$5\sqrt{3}+6\sqrt{3}+\frac{1}{\sqrt{3}}$$

Pahekotia te 5\sqrt{3} me 6\sqrt{3}, ka 11\sqrt{3}.

$$11\sqrt{3}+\frac{1}{\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$11\sqrt{3}+\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$11\sqrt{3}+\frac{\sqrt{3}}{3}$$

Pahekotia te 11\sqrt{3} me \frac{\sqrt{3}}{3}, ka \frac{34}{3}\sqrt{3}.

$$\frac{34}{3}\sqrt{3}$$