Whakaoti i te 6/sqrt{7}+8/sqrt{2}

$$\frac { 6 } { \sqrt { 7 } } + \frac { 8 } { \sqrt { 2 } }$$

Aromātai

$$\frac{6\sqrt{7}}{7}+4\sqrt{2}\approx 7.924641088$$

Ngā Hipanga Rongoā Poto

Whakangāwaritia te tauraro o \frac{6}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\frac{6\sqrt{7}}{\left(\sqrt{7}\right)^{2}}+\frac{8}{\sqrt{2}}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\frac{6\sqrt{7}}{7}+\frac{8}{\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{8}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{6\sqrt{7}}{7}+\frac{8\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{6\sqrt{7}}{7}+\frac{8\sqrt{2}}{2}$$

Whakawehea te 8\sqrt{2} ki te 2, kia riro ko 4\sqrt{2}.

$$\frac{6\sqrt{7}}{7}+4\sqrt{2}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 4\sqrt{2} ki te \frac{7}{7}.

$$\frac{6\sqrt{7}}{7}+\frac{7\times 4\sqrt{2}}{7}$$

Tā te mea he rite te tauraro o \frac{6\sqrt{7}}{7} me \frac{7\times 4\sqrt{2}}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{6\sqrt{7}+7\times 4\sqrt{2}}{7}$$

Mahia ngā whakarea i roto o 6\sqrt{7}+7\times 4\sqrt{2}.

$$\frac{6\sqrt{7}+28\sqrt{2}}{7}$$

Tauwehe

$$\frac{2 {(3 \sqrt{7} + 14 \sqrt{2})}}{7} = 7.9246410875477435$$