Whakaoti i te 86/7*2+(-2)divsqrt{8+5}=

$$\frac{ 86 }{ 7 \times 2 } +(-2) \div \sqrt{ 8+5 } =$$

Aromātai

$$-\frac{2\sqrt{13}}{13}+\frac{43}{7}\approx 5.588156947$$

Ngā Hipanga Rongoā Poto

Whakareatia te 7 ki te 2, ka 14.

$$\frac{86}{14}+\frac{-2}{\sqrt{8+5}}$$

Whakahekea te hautanga \frac{86}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{43}{7}+\frac{-2}{\sqrt{8+5}}$$

Tāpirihia te 8 ki te 5, ka 13.

$$\frac{43}{7}+\frac{-2}{\sqrt{13}}$$

Whakangāwaritia te tauraro o \frac{-2}{\sqrt{13}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{13}.

$$\frac{43}{7}+\frac{-2\sqrt{13}}{\left(\sqrt{13}\right)^{2}}$$

Ko te pūrua o \sqrt{13} ko 13.

$$\frac{43}{7}+\frac{-2\sqrt{13}}{13}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 7 me 13 ko 91. Whakareatia \frac{43}{7} ki te \frac{13}{13}. Whakareatia \frac{-2\sqrt{13}}{13} ki te \frac{7}{7}.

$$\frac{43\times 13}{91}+\frac{7\left(-2\right)\sqrt{13}}{91}$$

Tā te mea he rite te tauraro o \frac{43\times 13}{91} me \frac{7\left(-2\right)\sqrt{13}}{91}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{43\times 13+7\left(-2\right)\sqrt{13}}{91}$$

Mahia ngā whakarea i roto o 43\times 13+7\left(-2\right)\sqrt{13}.

$$\frac{559-14\sqrt{13}}{91}$$

Tauwehe

$$\frac{559 - 14 \sqrt{13}}{91} = 5.588156946631914$$