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\sqrt{\frac{89}{40}}
Tāpirihia te 64 ki te 25, ka 89.
\frac{\sqrt{89}}{\sqrt{40}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{89}{40}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{89}}{\sqrt{40}}.
\frac{\sqrt{89}}{2\sqrt{10}}
Tauwehea te 40=2^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 10} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{10}. Tuhia te pūtakerua o te 2^{2}.
\frac{\sqrt{89}\sqrt{10}}{2\left(\sqrt{10}\right)^{2}}
Whakangāwaritia te tauraro o \frac{\sqrt{89}}{2\sqrt{10}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{10}.
\frac{\sqrt{89}\sqrt{10}}{2\times 10}
Ko te pūrua o \sqrt{10} ko 10.
\frac{\sqrt{890}}{2\times 10}
Hei whakarea \sqrt{89} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.
\frac{\sqrt{890}}{20}
Whakareatia te 2 ki te 10, ka 20.