Whakaoti i te sqrt{7}(1-1/sqrt{7})+2sqrt{7}-3sqrt{7}

$$\sqrt { 7 } ( 1 - \frac { 1 } { \sqrt { 7 } } ) + 2 \sqrt { 7 } - 3 \sqrt { 7 }$$

Aromātai

$$-1$$

Ngā Hipanga Rongoā Poto

Whakangāwaritia te tauraro o \frac{1}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\sqrt{7}\left(1-\frac{\sqrt{7}}{\left(\sqrt{7}\right)^{2}}\right)+2\sqrt{7}-3\sqrt{7}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\sqrt{7}\left(1-\frac{\sqrt{7}}{7}\right)+2\sqrt{7}-3\sqrt{7}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{7}{7}.

$$\sqrt{7}\left(\frac{7}{7}-\frac{\sqrt{7}}{7}\right)+2\sqrt{7}-3\sqrt{7}$$

Tā te mea he rite te tauraro o \frac{7}{7} me \frac{\sqrt{7}}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\sqrt{7}\times \frac{7-\sqrt{7}}{7}+2\sqrt{7}-3\sqrt{7}$$

Tuhia te \sqrt{7}\times \frac{7-\sqrt{7}}{7} hei hautanga kotahi.

$$\frac{\sqrt{7}\left(7-\sqrt{7}\right)}{7}+2\sqrt{7}-3\sqrt{7}$$

Pahekotia te 2\sqrt{7} me -3\sqrt{7}, ka -\sqrt{7}.

$$\frac{\sqrt{7}\left(7-\sqrt{7}\right)}{7}-\sqrt{7}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia \sqrt{7} ki te \frac{7}{7}.

$$\frac{\sqrt{7}\left(7-\sqrt{7}\right)}{7}-\frac{7\sqrt{7}}{7}$$

Tā te mea he rite te tauraro o \frac{\sqrt{7}\left(7-\sqrt{7}\right)}{7} me \frac{7\sqrt{7}}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\sqrt{7}\left(7-\sqrt{7}\right)-7\sqrt{7}}{7}$$

Mahia ngā whakarea i roto o \sqrt{7}\left(7-\sqrt{7}\right)-7\sqrt{7}.

$$\frac{7\sqrt{7}-7-7\sqrt{7}}{7}$$

Mahia ngā tātaitai i roto o 7\sqrt{7}-7-7\sqrt{7}.

$$\frac{-7}{7}$$

Whakawehea te -7 ki te 7, kia riro ko -1.

$$-1$$

Tauwehe

$$-1$$