Whakaoti i te (-5sqrt{(2/5)+08^2}

$$( - 5 \sqrt { ( \frac { 2 } { 5 } ) + 08 ^ { 2 } }$$

Aromātai

$$-\sqrt{1610}\approx -40.124805295$$

Ngā Upane Otinga

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$-5\sqrt{\frac{2}{5}+64}$$

Me tahuri te 64 ki te hautau \frac{320}{5}.

$$-5\sqrt{\frac{2}{5}+\frac{320}{5}}$$

Tā te mea he rite te tauraro o \frac{2}{5} me \frac{320}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-5\sqrt{\frac{2+320}{5}}$$

Tāpirihia te 2 ki te 320, ka 322.

$$-5\sqrt{\frac{322}{5}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{322}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{322}}{\sqrt{5}}.

$$-5\times \frac{\sqrt{322}}{\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{322}}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$-5\times \frac{\sqrt{322}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$-5\times \frac{\sqrt{322}\sqrt{5}}{5}$$

Hei whakarea \sqrt{322} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$-5\times \frac{\sqrt{1610}}{5}$$

Me whakakore te 5 me te 5.

$$-\sqrt{1610}$$