Réitigh (5sqrt{6}-sqrt{5})^2

$$( 5 \sqrt { 6 } - \sqrt { 5 } ) ^ { 2 }$$

Luacháil

$$155-10\sqrt{30}\approx 100.227744249$$

Céimeanna Réitigh

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(5\sqrt{6}-\sqrt{5}\right)^{2} a leathnú.

$$25\left(\sqrt{6}\right)^{2}-10\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Is é 6 uimhir chearnach \sqrt{6}.

$$25\times 6-10\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Méadaigh 25 agus 6 chun 150 a fháil.

$$150-10\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{6} agus \sqrt{5} a iolrú.

$$150-10\sqrt{30}+\left(\sqrt{5}\right)^{2}$$

Is é 5 uimhir chearnach \sqrt{5}.

$$150-10\sqrt{30}+5$$

Suimigh 150 agus 5 chun 155 a fháil.

$$155-10\sqrt{30}$$

Fairsingigh

$$155-10\sqrt{30}$$

Céimeanna Réitigh

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(5\sqrt{6}-\sqrt{5}\right)^{2} a leathnú.

$$25\left(\sqrt{6}\right)^{2}-10\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Is é 6 uimhir chearnach \sqrt{6}.

$$25\times 6-10\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Méadaigh 25 agus 6 chun 150 a fháil.

$$150-10\sqrt{6}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{6} agus \sqrt{5} a iolrú.

$$150-10\sqrt{30}+\left(\sqrt{5}\right)^{2}$$

Is é 5 uimhir chearnach \sqrt{5}.

$$150-10\sqrt{30}+5$$

Suimigh 150 agus 5 chun 155 a fháil.

$$155-10\sqrt{30}$$