Issolvi frac{5sqrt{6}}{sqrt{3}}*frac{sqrt{3}}{sqrt{3}}

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

Evalwa

$$5\sqrt{2}\approx 7.071067812$$

Passi tas-Soluzzjonijiet

Iddividi \sqrt{3} b'\sqrt{3} biex tikseb1.

$$\frac{5\sqrt{6}}{\sqrt{3}}\times 1$$

Irrazzjonalizza d-denominatur tal-\frac{5\sqrt{6}}{\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{5\sqrt{6}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\times 1$$

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

$$\frac{5\sqrt{6}\sqrt{3}}{3}\times 1$$

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

$$\frac{5\sqrt{3}\sqrt{2}\sqrt{3}}{3}\times 1$$

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

$$\frac{5\times 3\sqrt{2}}{3}\times 1$$

Annulla 3 u 3.

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

Immultiplika 5 u 1 biex tikseb 5.

$$5\sqrt{2}$$