Issolvi frac{sqrt{54}*sqrt{6}}{sqrt{3}}

$$\frac { \sqrt { 54 } \times \sqrt { 6 } } { \sqrt { 3 } }$$

Evalwa

$$6\sqrt{3}\approx 10.392304845$$

Passi tas-Soluzzjonijiet

Iffattura 54=6\times 9. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{6\times 9} bħala l-prodott tal-għeruq kwadrati \sqrt{6}\sqrt{9}.

$$\frac{\sqrt{6}\sqrt{9}\sqrt{6}}{\sqrt{3}}$$

Immultiplika \sqrt{6} u \sqrt{6} biex tikseb 6.

$$\frac{6\sqrt{9}}{\sqrt{3}}$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

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

Immultiplika 6 u 3 biex tikseb 18.

$$\frac{18}{\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{18}{\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{18\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$\frac{18\sqrt{3}}{3}$$

Iddividi 18\sqrt{3} b'3 biex tikseb6\sqrt{3}.

$$6\sqrt{3}$$