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\sqrt{21^{2}+\left(\frac{66}{2}\right)^{2}}
Whakawehea te 42 ki te 2, kia riro ko 21.
\sqrt{441+\left(\frac{66}{2}\right)^{2}}
Tātaihia te 21 mā te pū o 2, kia riro ko 441.
\sqrt{441+33^{2}}
Whakawehea te 66 ki te 2, kia riro ko 33.
\sqrt{441+1089}
Tātaihia te 33 mā te pū o 2, kia riro ko 1089.
\sqrt{1530}
Tāpirihia te 441 ki te 1089, ka 1530.
3\sqrt{170}
Tauwehea te 1530=3^{2}\times 170. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 170} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{170}. Tuhia te pūtakerua o te 3^{2}.