Datrys {left(3sqrt{2}-2sqrt{3}right)}^2

$${ \left(3 \sqrt{ 2 } -2 \sqrt{ 3 } \right) }^{ 2 }$$

Enrhifo

$$30-12\sqrt{6}\approx 0.606123087$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(3\sqrt{2}-2\sqrt{3}\right)^{2}.

$$9\left(\sqrt{2}\right)^{2}-12\sqrt{2}\sqrt{3}+4\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$9\times 2-12\sqrt{2}\sqrt{3}+4\left(\sqrt{3}\right)^{2}$$

Lluosi 9 a 2 i gael 18.

$$18-12\sqrt{2}\sqrt{3}+4\left(\sqrt{3}\right)^{2}$$

I luosi \sqrt{2} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$18-12\sqrt{6}+4\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$18-12\sqrt{6}+4\times 3$$

Lluosi 4 a 3 i gael 12.

$$18-12\sqrt{6}+12$$

Adio 18 a 12 i gael 30.

$$30-12\sqrt{6}$$

Ehangu

$$30-12\sqrt{6}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(3\sqrt{2}-2\sqrt{3}\right)^{2}.

$$9\left(\sqrt{2}\right)^{2}-12\sqrt{2}\sqrt{3}+4\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$9\times 2-12\sqrt{2}\sqrt{3}+4\left(\sqrt{3}\right)^{2}$$

Lluosi 9 a 2 i gael 18.

$$18-12\sqrt{2}\sqrt{3}+4\left(\sqrt{3}\right)^{2}$$

I luosi \sqrt{2} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$18-12\sqrt{6}+4\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$18-12\sqrt{6}+4\times 3$$

Lluosi 4 a 3 i gael 12.

$$18-12\sqrt{6}+12$$

Adio 18 a 12 i gael 30.

$$30-12\sqrt{6}$$