Whakaoti i te (frac{15sqrt{3}}{4})^2

$$( \frac { 15 \sqrt { 3 } } { 4 } ) ^ { 2 }$$

Aromātai

$$\frac{675}{16}=42.1875$$

Ngā Upane Otinga

Kia whakarewa i te \frac{15\sqrt{3}}{4} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(15\sqrt{3}\right)^{2}}{4^{2}}$$

Whakarohaina te \left(15\sqrt{3}\right)^{2}.

$$\frac{15^{2}\left(\sqrt{3}\right)^{2}}{4^{2}}$$

Tātaihia te 15 mā te pū o 2, kia riro ko 225.

$$\frac{225\left(\sqrt{3}\right)^{2}}{4^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{225\times 3}{4^{2}}$$

Whakareatia te 225 ki te 3, ka 675.

$$\frac{675}{4^{2}}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{675}{16}$$

Tauwehe

$$\frac{3 ^ {3} \cdot 5 ^ {2}}{2 ^ {4}} = 42\frac{3}{16} = 42.1875$$