Lahenda sqrt{2}*(sqrt{6}+sqrt{2})

$$\sqrt{ 2 } \times ( \sqrt{ 6 } + \sqrt{ 2 } )$$

Arvuta

$$2\left(\sqrt{3}+1\right)\approx 5,464101615$$

Lahenduse etapid

Kasutage distributiivsusomadust, et korrutada \sqrt{2} ja \sqrt{6}+\sqrt{2}.

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

Tegurda 6=2\times 3. Kirjutage \sqrt{2\times 3} toote juured, kui see ruut \sqrt{2}\sqrt{3}.

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

Korrutage \sqrt{2} ja \sqrt{2}, et leida 2.

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

\sqrt{2} ruut on 2.

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