Issolvi sqrt{frac{3/2*27}}{27}

$$\frac{ \sqrt{ \frac{ 3 }{ 2 } \times 27 } }{ 27 }$$

Evalwa

$$\frac{\sqrt{2}}{6}\approx 0.23570226$$

Passi tas-Soluzzjonijiet

Esprimi \frac{3}{2}\times 27 bħala frazzjoni waħda.

$$\frac{\sqrt{\frac{3\times 27}{2}}}{27}$$

Immultiplika 3 u 27 biex tikseb 81.

$$\frac{\sqrt{\frac{81}{2}}}{27}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{81}{2}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{81}}{\sqrt{2}}.

$$\frac{\frac{\sqrt{81}}{\sqrt{2}}}{27}$$

Ikkalkula l-għerq kwadrat ta' 81 u ikseb 9.

$$\frac{\frac{9}{\sqrt{2}}}{27}$$

Irrazzjonalizza d-denominatur tal-\frac{9}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{\frac{9\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{27}$$

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

$$\frac{\frac{9\sqrt{2}}{2}}{27}$$

Esprimi \frac{\frac{9\sqrt{2}}{2}}{27} bħala frazzjoni waħda.

$$\frac{9\sqrt{2}}{2\times 27}$$

Annulla 9 fin-numeratur u d-denominatur.

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

Immultiplika 2 u 3 biex tikseb 6.

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