Whakaoti i te sqrt{15/4}+22/3*(11/2)^2-3div11/5=

$$\sqrt { 1 \frac { 5 } { 4 } } + 2 \frac { 2 } { 3 } \cdot ( 1 \frac { 1 } { 2 } ) ^ { 2 } - 3 \div 1 \frac { 1 } { 5 } =$$

Aromātai

$$5$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

$$\sqrt{\frac{4+5}{4}}+\frac{2\times 3+2}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Tāpirihia te 4 ki te 5, ka 9.

$$\sqrt{\frac{9}{4}}+\frac{2\times 3+2}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{9}{4} hei whakawehenga o ngā pūtake rua \frac{\sqrt{9}}{\sqrt{4}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{3}{2}+\frac{2\times 3+2}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{3}{2}+\frac{6+2}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Tāpirihia te 6 ki te 2, ka 8.

$$\frac{3}{2}+\frac{8}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Whakareatia te 1 ki te 2, ka 2.

$$\frac{3}{2}+\frac{8}{3}\times \left(\frac{2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{3}{2}+\frac{8}{3}\times \left(\frac{3}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Tātaihia te \frac{3}{2} mā te pū o 2, kia riro ko \frac{9}{4}.

$$\frac{3}{2}+\frac{8}{3}\times \frac{9}{4}-\frac{3}{\frac{1\times 5+1}{5}}$$

Whakareatia te \frac{8}{3} ki te \frac{9}{4}, ka 6.

$$\frac{3}{2}+6-\frac{3}{\frac{1\times 5+1}{5}}$$

Tāpirihia te \frac{3}{2} ki te 6, ka \frac{15}{2}.

$$\frac{15}{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

Whakawehe 3 ki te \frac{1\times 5+1}{5} mā te whakarea 3 ki te tau huripoki o \frac{1\times 5+1}{5}.

$$\frac{15}{2}-\frac{3\times 5}{1\times 5+1}$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{15}{2}-\frac{15}{1\times 5+1}$$

Whakareatia te 1 ki te 5, ka 5.

$$\frac{15}{2}-\frac{15}{5+1}$$

Tāpirihia te 5 ki te 1, ka 6.

$$\frac{15}{2}-\frac{15}{6}$$

Whakahekea te hautanga \frac{15}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{15}{2}-\frac{5}{2}$$

Tangohia te \frac{5}{2} i te \frac{15}{2}, ka 5.

$$5$$

Tauwehe

$$5$$