Whakaoti i te sqrt{3^2*5^2}=sqrt{3^2}sqrt{5^2}

$$\sqrt { 3 ^ { 2 } \times 5 ^ { 2 } } = \sqrt { 3 ^ { 2 } } \sqrt { 5 ^ { 2 } }$$

Manatoko

Ngā Upane Otinga

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

$$\sqrt{9\times 5^{2}}=\sqrt{3^{2}}\sqrt{5^{2}}$$

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

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

Whakareatia te 9 ki te 25, ka 225.

$$\sqrt{225}=\sqrt{3^{2}}\sqrt{5^{2}}$$

Tātaitia te pūtakerua o 225 kia tae ki 15.

$$15=\sqrt{3^{2}}\sqrt{5^{2}}$$

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

$$15=\sqrt{9}\sqrt{5^{2}}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$15=3\sqrt{5^{2}}$$

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

$$15=3\sqrt{25}$$

Tātaitia te pūtakerua o 25 kia tae ki 5.

$$15=3\times 5$$

Whakareatia te 3 ki te 5, ka 15.

$$15=15$$

Whakatauritea te 15 me te 15.

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