Issolvi sqrt{60^2+(60sqrt{3})^2-628}

$$\sqrt { 60 ^ { 2 } + ( 60 \sqrt { 3 } ) ^ { 2 } - 628 }$$

Evalwa

$$2\sqrt{3443}\approx 117.354164817$$

Passi tas-Soluzzjonijiet

Ikkalkula 60 bil-power ta' 2 u tikseb 3600.

$$\sqrt{3600+\left(60\sqrt{3}\right)^{2}-628}$$

Espandi \left(60\sqrt{3}\right)^{2}.

$$\sqrt{3600+60^{2}\left(\sqrt{3}\right)^{2}-628}$$

Ikkalkula 60 bil-power ta' 2 u tikseb 3600.

$$\sqrt{3600+3600\left(\sqrt{3}\right)^{2}-628}$$

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

$$\sqrt{3600+3600\times 3-628}$$

Immultiplika 3600 u 3 biex tikseb 10800.

$$\sqrt{3600+10800-628}$$

Żid 3600 u 10800 biex tikseb 14400.

$$\sqrt{14400-628}$$

Naqqas 628 minn 14400 biex tikseb 13772.

$$\sqrt{13772}$$

Iffattura 13772=2^{2}\times 3443. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 3443} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{3443}. Ħu l-għerq kwadrat ta' 2^{2}.

$$2\sqrt{3443}$$