Issolvi sqrt{20^2+(16sqrt{71})^2}

$$\sqrt { 20 ^ { 2 } + ( 16 \sqrt { 71 } ) ^ { 2 } }$$

Evalwa

$$12\sqrt{129}\approx 136.293800299$$

Passi tas-Soluzzjonijiet

Ikkalkula 20 bil-power ta' 2 u tikseb 400.

$$\sqrt{400+\left(16\sqrt{71}\right)^{2}}$$

Espandi \left(16\sqrt{71}\right)^{2}.

$$\sqrt{400+16^{2}\left(\sqrt{71}\right)^{2}}$$

Ikkalkula 16 bil-power ta' 2 u tikseb 256.

$$\sqrt{400+256\left(\sqrt{71}\right)^{2}}$$

Il-kwadrat ta' \sqrt{71} huwa 71.

$$\sqrt{400+256\times 71}$$

Immultiplika 256 u 71 biex tikseb 18176.

$$\sqrt{400+18176}$$

Żid 400 u 18176 biex tikseb 18576.

$$\sqrt{18576}$$

Iffattura 18576=12^{2}\times 129. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{12^{2}\times 129} bħala l-prodott tal-għeruq kwadrati \sqrt{12^{2}}\sqrt{129}. Ħu l-għerq kwadrat ta' 12^{2}.

$$12\sqrt{129}$$