Issolvi frac{sqrt{8}}{3}frac{sqrt{6}}{2}

$$\frac{ \sqrt{ 8 } }{ 3 } \frac{ \sqrt{ 6 } }{ 2 }$$

Evalwa

$$\frac{2\sqrt{3}}{3}\approx 1.154700538$$

Passi tas-Soluzzjonijiet

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

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

Immultiplika \frac{2\sqrt{2}}{3} b'\frac{\sqrt{6}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla 2 fin-numeratur u d-denominatur.

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

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}.

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

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

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