Whakaoti i te {left(2sqrt{6}+sqrt{5}right)}^2

$${ \left(2 \sqrt{ 6 } + \sqrt{ 5 } \right) }^{ 2 }$$

Aromātai

$$4\sqrt{30}+29\approx 50.9089023$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(2\sqrt{6}+\sqrt{5}\right)^{2}.

$$4\left(\sqrt{6}\right)^{2}+4\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Ko te pūrua o \sqrt{6} ko 6.

$$4\times 6+4\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Whakareatia te 4 ki te 6, ka 24.

$$24+4\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Hei whakarea \sqrt{6} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$24+4\sqrt{30}+\left(\sqrt{5}\right)^{2}$$

Ko te pūrua o \sqrt{5} ko 5.

$$24+4\sqrt{30}+5$$

Tāpirihia te 24 ki te 5, ka 29.

$$29+4\sqrt{30}$$

Whakaroha

$$4 \sqrt{30} + 29 = 50.9089023$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(2\sqrt{6}+\sqrt{5}\right)^{2}.

$$4\left(\sqrt{6}\right)^{2}+4\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Ko te pūrua o \sqrt{6} ko 6.

$$4\times 6+4\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Whakareatia te 4 ki te 6, ka 24.

$$24+4\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Hei whakarea \sqrt{6} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$24+4\sqrt{30}+\left(\sqrt{5}\right)^{2}$$

Ko te pūrua o \sqrt{5} ko 5.

$$24+4\sqrt{30}+5$$

Tāpirihia te 24 ki te 5, ka 29.

$$29+4\sqrt{30}$$