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\sqrt{7744+109^{2}}
Tātaihia te 88 mā te pū o 2, kia riro ko 7744.
\sqrt{7744+11881}
Tātaihia te 109 mā te pū o 2, kia riro ko 11881.
\sqrt{19625}
Tāpirihia te 7744 ki te 11881, ka 19625.
5\sqrt{785}
Tauwehea te 19625=5^{2}\times 785. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 785} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{785}. Tuhia te pūtakerua o te 5^{2}.