Datrys (5sqrt{6}-sqrt{5})^2

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

Enrhifo

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

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(5\sqrt{6}-\sqrt{5}\right)^{2}.

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

Sgwâr \sqrt{6} yw 6.

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

Lluosi 25 a 6 i gael 150.

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

I luosi \sqrt{6} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

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

Sgwâr \sqrt{5} yw 5.

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

Adio 150 a 5 i gael 155.

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

Ehangu

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

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(5\sqrt{6}-\sqrt{5}\right)^{2}.

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

Sgwâr \sqrt{6} yw 6.

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

Lluosi 25 a 6 i gael 150.

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

I luosi \sqrt{6} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

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

Sgwâr \sqrt{5} yw 5.

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

Adio 150 a 5 i gael 155.

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