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\sqrt{\frac{51}{20}-\frac{4}{20}}
Ko te maha noa iti rawa atu o 20 me 5 ko 20. Me tahuri \frac{51}{20} me \frac{1}{5} ki te hautau me te tautūnga 20.
\sqrt{\frac{51-4}{20}}
Tā te mea he rite te tauraro o \frac{51}{20} me \frac{4}{20}, me tango rāua mā te tango i ō raua taurunga.
\sqrt{\frac{47}{20}}
Tangohia te 4 i te 51, ka 47.
\frac{\sqrt{47}}{\sqrt{20}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{47}{20}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{47}}{\sqrt{20}}.
\frac{\sqrt{47}}{2\sqrt{5}}
Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.
\frac{\sqrt{47}\sqrt{5}}{2\left(\sqrt{5}\right)^{2}}
Whakangāwaritia te tauraro o \frac{\sqrt{47}}{2\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.
\frac{\sqrt{47}\sqrt{5}}{2\times 5}
Ko te pūrua o \sqrt{5} ko 5.
\frac{\sqrt{235}}{2\times 5}
Hei whakarea \sqrt{47} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.
\frac{\sqrt{235}}{10}
Whakareatia te 2 ki te 5, ka 10.