Whakaoti i te sqrt{frac{3^{10}*5^{7}*8^{3}*1^{20}*25}{2^{6}*5^2*3^8*5^7*2^3}}

$$\sqrt { \frac { 3 ^ { 10 } \cdot 5 ^ { 7 } \cdot 8 ^ { 3 } \cdot 1 ^ { 20 } \cdot 25 } { 2 ^ { 6 } \cdot 5 ^ { 2 } \cdot 3 ^ { 8 } \cdot 5 ^ { 7 } \cdot 2 ^ { 3 } } }$$

Aromātai

$$3$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 3 kia riro ai te 9.

$$\sqrt{\frac{3^{10}\times 5^{7}\times 8^{3}\times 1^{20}\times 25}{2^{9}\times 5^{2}\times 3^{8}\times 5^{7}}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 7 kia riro ai te 9.

$$\sqrt{\frac{3^{10}\times 5^{7}\times 8^{3}\times 1^{20}\times 25}{2^{9}\times 5^{9}\times 3^{8}}}$$

Me whakakore tahi te 3^{8}\times 5^{7} i te taurunga me te tauraro.

$$\sqrt{\frac{25\times 1^{20}\times 3^{2}\times 8^{3}}{2^{9}\times 5^{2}}}$$

Tātaihia te 1 mā te pū o 20, kia riro ko 1.

$$\sqrt{\frac{25\times 1\times 3^{2}\times 8^{3}}{2^{9}\times 5^{2}}}$$

Whakareatia te 25 ki te 1, ka 25.

$$\sqrt{\frac{25\times 3^{2}\times 8^{3}}{2^{9}\times 5^{2}}}$$

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

$$\sqrt{\frac{25\times 9\times 8^{3}}{2^{9}\times 5^{2}}}$$

Whakareatia te 25 ki te 9, ka 225.

$$\sqrt{\frac{225\times 8^{3}}{2^{9}\times 5^{2}}}$$

Tātaihia te 8 mā te pū o 3, kia riro ko 512.

$$\sqrt{\frac{225\times 512}{2^{9}\times 5^{2}}}$$

Whakareatia te 225 ki te 512, ka 115200.

$$\sqrt{\frac{115200}{2^{9}\times 5^{2}}}$$

Tātaihia te 2 mā te pū o 9, kia riro ko 512.

$$\sqrt{\frac{115200}{512\times 5^{2}}}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\sqrt{\frac{115200}{512\times 25}}$$

Whakareatia te 512 ki te 25, ka 12800.

$$\sqrt{\frac{115200}{12800}}$$

Whakawehea te 115200 ki te 12800, kia riro ko 9.

$$\sqrt{9}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$3$$

Tauwehe

$$3$$