Issolvi frac{-sqrt{80}}{4sqrt{3}}

$$\frac { - \sqrt { 80 } } { 4 \sqrt { 3 } }$$

Evalwa

$$-\frac{\sqrt{15}}{3}\approx -1.290994449$$

Passi tas-Soluzzjonijiet

Iffattura 80=4^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 4^{2}.

$$\frac{-4\sqrt{5}}{4\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{-4\sqrt{5}}{4\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{\left(-4\sqrt{5}\right)\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}$$

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

$$\frac{\left(-4\sqrt{5}\right)\sqrt{3}}{4\times 3}$$

Immultiplika 4 u 3 biex tikseb 12.

$$\frac{\left(-4\sqrt{5}\right)\sqrt{3}}{12}$$

Immultiplika -1 u 4 biex tikseb -4.

$$\frac{-4\sqrt{5}\sqrt{3}}{12}$$

Biex timmultiplika \sqrt{5} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{-4\sqrt{15}}{12}$$

Iddividi -4\sqrt{15} b'12 biex tikseb-\frac{1}{3}\sqrt{15}.

$$-\frac{1}{3}\sqrt{15}$$