Issolvi 3/sqrt{18}-sqrt{72}:50

$$\frac { 3 } { \sqrt { 18 } } - \sqrt { 72 } : 50$$

Evalwa

$$\frac{19\sqrt{2}}{50}\approx 0.537401154$$

Passi tas-Soluzzjonijiet

Iffattura 18=3^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 3^{2}.

$$\frac{3}{3\sqrt{2}}-\frac{\sqrt{72}}{50}$$

Irrazzjonalizza d-denominatur tal-\frac{3}{3\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{3\sqrt{2}}{3\left(\sqrt{2}\right)^{2}}-\frac{\sqrt{72}}{50}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{3\sqrt{2}}{3\times 2}-\frac{\sqrt{72}}{50}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\sqrt{2}}{2}-\frac{\sqrt{72}}{50}$$

Iffattura 72=6^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{6^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{6^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 6^{2}.

$$\frac{\sqrt{2}}{2}-\frac{6\sqrt{2}}{50}$$

Iddividi 6\sqrt{2} b'50 biex tikseb\frac{3}{25}\sqrt{2}.

$$\frac{\sqrt{2}}{2}-\frac{3}{25}\sqrt{2}$$

Ikkombina \frac{\sqrt{2}}{2} u -\frac{3}{25}\sqrt{2} biex tikseb \frac{19}{50}\sqrt{2}.

$$\frac{19}{50}\sqrt{2}$$