Issolvi 711+196*34/sqrt{46224}

$$711 + 196 \times \frac { 34 } { \sqrt { 46224 } }$$

Evalwa

$$\frac{1666\sqrt{321}}{963}+711\approx 741.995684109$$

Passi Qosra tas-Soluzzjonijiet

Iffattura 46224=12^{2}\times 321. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{12^{2}\times 321} bħala l-prodott tal-għeruq kwadrati \sqrt{12^{2}}\sqrt{321}. Ħu l-għerq kwadrat ta' 12^{2}.

$$711+196\times \frac{34}{12\sqrt{321}}$$

Irrazzjonalizza d-denominatur tal-\frac{34}{12\sqrt{321}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{321}.

$$711+196\times \frac{34\sqrt{321}}{12\left(\sqrt{321}\right)^{2}}$$

Il-kwadrat ta' \sqrt{321} huwa 321.

$$711+196\times \frac{34\sqrt{321}}{12\times 321}$$

Annulla 2 fin-numeratur u d-denominatur.

$$711+196\times \frac{17\sqrt{321}}{6\times 321}$$

Immultiplika 6 u 321 biex tikseb 1926.

$$711+196\times \frac{17\sqrt{321}}{1926}$$

Esprimi 196\times \frac{17\sqrt{321}}{1926} bħala frazzjoni waħda.

$$711+\frac{196\times 17\sqrt{321}}{1926}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 711 b'\frac{1926}{1926}.

$$\frac{711\times 1926}{1926}+\frac{196\times 17\sqrt{321}}{1926}$$

Billi \frac{711\times 1926}{1926} u \frac{196\times 17\sqrt{321}}{1926} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{711\times 1926+196\times 17\sqrt{321}}{1926}$$

Agħmel il-multiplikazzjonijiet fi 711\times 1926+196\times 17\sqrt{321}.

$$\frac{1369386+3332\sqrt{321}}{1926}$$