Whakaoti i te =frac{-2-frac{6sqrt{5}}{5}}{2*(-1/5)}

$$= \frac { - 2 - \frac { 6 \sqrt { 5 } } { 5 } } { 2 \cdot ( - \frac { 1 } { 5 } ) }$$

Aromātai

$$3\sqrt{5}+5\approx 11.708203932$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -2 ki te \frac{5}{5}.

$$\frac{-\frac{2\times 5}{5}-\frac{6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

Tā te mea he rite te tauraro o -\frac{2\times 5}{5} me \frac{6\sqrt{5}}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{-2\times 5-6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

Mahia ngā whakarea i roto o -2\times 5-6\sqrt{5}.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

Tuhia te 2\left(-\frac{1}{5}\right) hei hautanga kotahi.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{\frac{2\left(-1\right)}{5}}$$

Whakareatia te 2 ki te -1, ka -2.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{\frac{-2}{5}}$$

Ka taea te hautanga \frac{-2}{5} te tuhi anō ko -\frac{2}{5} mā te tango i te tohu tōraro.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{-\frac{2}{5}}$$

Whakawehe \frac{-10-6\sqrt{5}}{5} ki te -\frac{2}{5} mā te whakarea \frac{-10-6\sqrt{5}}{5} ki te tau huripoki o -\frac{2}{5}.

$$\frac{\left(-10-6\sqrt{5}\right)\times 5}{5\left(-2\right)}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{-6\sqrt{5}-10}{-2}$$

Whakawehea ia wā o -6\sqrt{5}-10 ki te -2, kia riro ko 5+3\sqrt{5}.

$$5+3\sqrt{5}$$

Tauwehe

$$\sqrt{5} {(\sqrt{5} + 3)} = 11.708203932$$