Issolvi frac{sqrt{60^circ}}{8sqrt{3}}

$$\frac { \sqrt { 60 ^ { \circ } } } { 8 \sqrt { 3 } }$$

Evalwa

$$\frac{\sqrt{5}}{4}\approx 0.559016994$$

Passi tas-Soluzzjonijiet

Iffattura 60=2^{2}\times 15. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 15} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{15}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{2\sqrt{15}}{8\sqrt{3}}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{\sqrt{15}}{4\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{15}}{4\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{\sqrt{15}\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}$$

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

$$\frac{\sqrt{15}\sqrt{3}}{4\times 3}$$

Iffattura 15=3\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{5}.

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

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

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

Immultiplika 4 u 3 biex tikseb 12.

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

Iddividi 3\sqrt{5} b'12 biex tikseb\frac{1}{4}\sqrt{5}.

$$\frac{1}{4}\sqrt{5}$$