Whakaoti i te =3*45+3*45/sqrt{3^2+3^2sqrt{45^2+45^2}}

$$= \frac { 3 \cdot 45 + 3 \cdot 45 } { \sqrt { 3 ^ { 2 } + 3 ^ { 2 } } \sqrt { 45 ^ { 2 } + 45 ^ { 2 } } }$$

Aromātai

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Ngā Upane Otinga

Whakareatia te 3 ki te 45, ka 135. Whakareatia te 3 ki te 45, ka 135.

$$\frac{135+135}{\sqrt{3^{2}+3^{2}}\sqrt{45^{2}+45^{2}}}$$

Tāpirihia te 135 ki te 135, ka 270.

$$\frac{270}{\sqrt{3^{2}+3^{2}}\sqrt{45^{2}+45^{2}}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$\frac{270}{\sqrt{9+3^{2}}\sqrt{45^{2}+45^{2}}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$\frac{270}{\sqrt{9+9}\sqrt{45^{2}+45^{2}}}$$

Tāpirihia te 9 ki te 9, ka 18.

$$\frac{270}{\sqrt{18}\sqrt{45^{2}+45^{2}}}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{270}{3\sqrt{2}\sqrt{45^{2}+45^{2}}}$$

Tātaihia te 45 mā te pū o 2, kia riro ko 2025.

$$\frac{270}{3\sqrt{2}\sqrt{2025+45^{2}}}$$

Tātaihia te 45 mā te pū o 2, kia riro ko 2025.

$$\frac{270}{3\sqrt{2}\sqrt{2025+2025}}$$

Tāpirihia te 2025 ki te 2025, ka 4050.

$$\frac{270}{3\sqrt{2}\sqrt{4050}}$$

Tauwehea te 4050=45^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{45^{2}\times 2} hei hua o ngā pūtake rua \sqrt{45^{2}}\sqrt{2}. Tuhia te pūtakerua o te 45^{2}.

$$\frac{270}{3\sqrt{2}\times 45\sqrt{2}}$$

Whakareatia te 3 ki te 45, ka 135.

$$\frac{270}{135\sqrt{2}\sqrt{2}}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$\frac{270}{135\times 2}$$

Whakareatia te 135 ki te 2, ka 270.

$$\frac{270}{270}$$

Whakawehea te 270 ki te 270, kia riro ko 1.

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Tauwehe

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