Datrys (3sqrt{5}-sqrt{2})^2

$$( 3 \sqrt { 5 } - \sqrt { 2 } ) ^ { 2 }$$

Enrhifo

$$47-6\sqrt{10}\approx 28.026334039$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(3\sqrt{5}-\sqrt{2}\right)^{2}.

$$9\left(\sqrt{5}\right)^{2}-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$

Sgwâr \sqrt{5} yw 5.

$$9\times 5-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$

Lluosi 9 a 5 i gael 45.

$$45-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$

I luosi \sqrt{5} a \sqrt{2}, dylid lluosi'r rhifau dan yr ail isradd.

$$45-6\sqrt{10}+\left(\sqrt{2}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$45-6\sqrt{10}+2$$

Adio 45 a 2 i gael 47.

$$47-6\sqrt{10}$$

Ehangu

$$47-6\sqrt{10}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(3\sqrt{5}-\sqrt{2}\right)^{2}.

$$9\left(\sqrt{5}\right)^{2}-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$

Sgwâr \sqrt{5} yw 5.

$$9\times 5-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$

Lluosi 9 a 5 i gael 45.

$$45-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$

I luosi \sqrt{5} a \sqrt{2}, dylid lluosi'r rhifau dan yr ail isradd.

$$45-6\sqrt{10}+\left(\sqrt{2}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$45-6\sqrt{10}+2$$

Adio 45 a 2 i gael 47.

$$47-6\sqrt{10}$$