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Tohaina

\sqrt{5^{2}\left(\sqrt{2}\right)^{2}-5}
Whakarohaina te \left(5\sqrt{2}\right)^{2}.
\sqrt{25\left(\sqrt{2}\right)^{2}-5}
Tātaihia te 5 mā te pū o 2, kia riro ko 25.
\sqrt{25\times 2-5}
Ko te pūrua o \sqrt{2} ko 2.
\sqrt{50-5}
Whakareatia te 25 ki te 2, ka 50.
\sqrt{45}
Tangohia te 5 i te 50, ka 45.
3\sqrt{5}
Tauwehea te 45=3^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 5} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{5}. Tuhia te pūtakerua o te 3^{2}.