Datrys (3+sqrt{2})^2-4(2-sqrt{2})

$$( 3 + \sqrt { 2 } ) ^ { 2 } - 4 ( 2 - \sqrt { 2 } )$$

Enrhifo

$$10\sqrt{2}+3\approx 17.142135624$$

Camau Ateb

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

$$9+6\sqrt{2}+\left(\sqrt{2}\right)^{2}-4\left(2-\sqrt{2}\right)$$

Sgwâr \sqrt{2} yw 2.

$$9+6\sqrt{2}+2-4\left(2-\sqrt{2}\right)$$

Adio 9 a 2 i gael 11.

$$11+6\sqrt{2}-4\left(2-\sqrt{2}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -4 â 2-\sqrt{2}.

$$11+6\sqrt{2}-8+4\sqrt{2}$$

Tynnu 8 o 11 i gael 3.

$$3+6\sqrt{2}+4\sqrt{2}$$

Cyfuno 6\sqrt{2} a 4\sqrt{2} i gael 10\sqrt{2}.

$$3+10\sqrt{2}$$