Issolvi sqrt{{left(17sqrt{3}right)}^2+{left(17sqrt{3}right)}^2}

$$\sqrt{ { \left(17 \sqrt{ 3 } \right) }^{ 2 } + { \left(17 \sqrt{ 3 } \right) }^{ 2 } }$$

Evalwa

$$17\sqrt{6}\approx 41.641325627$$

Passi tas-Soluzzjonijiet

Espandi \left(17\sqrt{3}\right)^{2}.

$$\sqrt{17^{2}\left(\sqrt{3}\right)^{2}+\left(17\sqrt{3}\right)^{2}}$$

Ikkalkula 17 bil-power ta' 2 u tikseb 289.

$$\sqrt{289\left(\sqrt{3}\right)^{2}+\left(17\sqrt{3}\right)^{2}}$$

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

$$\sqrt{289\times 3+\left(17\sqrt{3}\right)^{2}}$$

Immultiplika 289 u 3 biex tikseb 867.

$$\sqrt{867+\left(17\sqrt{3}\right)^{2}}$$

Espandi \left(17\sqrt{3}\right)^{2}.

$$\sqrt{867+17^{2}\left(\sqrt{3}\right)^{2}}$$

Ikkalkula 17 bil-power ta' 2 u tikseb 289.

$$\sqrt{867+289\left(\sqrt{3}\right)^{2}}$$

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

$$\sqrt{867+289\times 3}$$

Immultiplika 289 u 3 biex tikseb 867.

$$\sqrt{867+867}$$

Żid 867 u 867 biex tikseb 1734.

$$\sqrt{1734}$$

Iffattura 1734=17^{2}\times 6. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{17^{2}\times 6} bħala l-prodott tal-għeruq kwadrati \sqrt{17^{2}}\sqrt{6}. Ħu l-għerq kwadrat ta' 17^{2}.

$$17\sqrt{6}$$