Whakaoti i te 3*sqrt{3/2}*8^2

$$3 \times \sqrt{ \frac{ 3 }{ 2 } } \times { 8 }^{ 2 }$$

Aromātai

$$96\sqrt{6}\approx 235.151015307$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{3}{2}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{3}}{\sqrt{2}}.

$$3\times \frac{\sqrt{3}}{\sqrt{2}}\times 8^{2}$$

Whakangāwaritia te tauraro o \frac{\sqrt{3}}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$3\times \frac{\sqrt{3}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\times 8^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$3\times \frac{\sqrt{3}\sqrt{2}}{2}\times 8^{2}$$

Hei whakarea \sqrt{3} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$3\times \frac{\sqrt{6}}{2}\times 8^{2}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$3\times \frac{\sqrt{6}}{2}\times 64$$

Whakareatia te 3 ki te 64, ka 192.

$$192\times \frac{\sqrt{6}}{2}$$

Whakakorea atu te tauwehe pūnoa nui rawa 2 i roto i te 192 me te 2.

$$96\sqrt{6}$$