Whakaoti i te frac{3sqrt{10}}{10}*frac{sqrt{5}}{5}+frac{sqrt{10}}{10}*frac{2sqrt{15}}{5}

$$\frac { 3 \sqrt { 10 } } { 10 } \times \frac { \sqrt { 5 } } { 5 } + \frac { \sqrt { 10 } } { 10 } \times \frac { 2 \sqrt { 15 } } { 5 }$$

Aromātai

$$\frac{\sqrt{2}\left(2\sqrt{3}+3\right)}{10}\approx 0.914162017$$

Ngā Hipanga Rongoā Poto

Me whakarea te \frac{3\sqrt{10}}{10} ki te \frac{\sqrt{5}}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{10}}{10}\times \frac{2\sqrt{15}}{5}$$

Me whakarea te \frac{\sqrt{10}}{10} ki te \frac{2\sqrt{15}}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{10}\times 2\sqrt{15}}{10\times 5}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{10}\sqrt{15}}{5\times 5}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakarohaina te 5\times 5.

$$\frac{3\sqrt{10}\sqrt{5}}{5\times 10}+\frac{\sqrt{10}\sqrt{15}}{5\times 10}$$

Tā te mea he rite te tauraro o \frac{3\sqrt{10}\sqrt{5}}{5\times 10} me \frac{\sqrt{10}\sqrt{15}}{5\times 10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3\sqrt{10}\sqrt{5}+\sqrt{10}\sqrt{15}}{5\times 10}$$

Mahia ngā whakarea i roto o 3\sqrt{10}\sqrt{5}+\sqrt{10}\sqrt{15}.

$$\frac{15\sqrt{2}+5\sqrt{6}}{5\times 10}$$

Whakarohaina te 5\times 10.

$$\frac{15\sqrt{2}+5\sqrt{6}}{50}$$

Tauwehe

$$\frac{\sqrt{2} {(\sqrt{2} \sqrt{6} + 3)}}{10} = 0.9141620172685642$$