Issolvi 174sqrt{5}-2sqrt{2}-sqrt{20}-sqrt{18}=

$$174 \sqrt { 5 } - 2 \sqrt { 2 } - \sqrt { 20 } - \sqrt { 18 } =$$

Evalwa

$$172\sqrt{5}-5\sqrt{2}\approx 377.532624318$$

Passi tas-Soluzzjonijiet

Iffattura 20=2^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 2^{2}.

$$174\sqrt{5}-2\sqrt{2}-2\sqrt{5}-\sqrt{18}$$

Ikkombina 174\sqrt{5} u -2\sqrt{5} biex tikseb 172\sqrt{5}.

$$172\sqrt{5}-2\sqrt{2}-\sqrt{18}$$

Iffattura 18=3^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 3^{2}.

$$172\sqrt{5}-2\sqrt{2}-3\sqrt{2}$$

Ikkombina -2\sqrt{2} u -3\sqrt{2} biex tikseb -5\sqrt{2}.

$$172\sqrt{5}-5\sqrt{2}$$