Issolvi 2sqrt{2}*5sqrt{1/6}

$$2 \sqrt{ 2 } \times 5 \sqrt{ \frac{ 1 }{ 6 } }$$

Evalwa

$$\frac{10\sqrt{3}}{3}\approx 5.773502692$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 5 biex tikseb 10.

$$10\sqrt{2}\sqrt{\frac{1}{6}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{6}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{6}}.

$$10\sqrt{2}\times \frac{\sqrt{1}}{\sqrt{6}}$$

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

$$10\sqrt{2}\times \frac{1}{\sqrt{6}}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{\sqrt{6}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{6}.

$$10\sqrt{2}\times \frac{\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

Il-kwadrat ta' \sqrt{6} huwa 6.

$$10\sqrt{2}\times \frac{\sqrt{6}}{6}$$

Esprimi 10\times \frac{\sqrt{6}}{6} bħala frazzjoni waħda.

$$\frac{10\sqrt{6}}{6}\sqrt{2}$$

Iddividi 10\sqrt{6} b'6 biex tikseb\frac{5}{3}\sqrt{6}.

$$\frac{5}{3}\sqrt{6}\sqrt{2}$$

Iffattura 6=2\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{3}.

$$\frac{5}{3}\sqrt{2}\sqrt{3}\sqrt{2}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$\frac{5}{3}\times 2\sqrt{3}$$

Esprimi \frac{5}{3}\times 2 bħala frazzjoni waħda.

$$\frac{5\times 2}{3}\sqrt{3}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{10}{3}\sqrt{3}$$