Issolvi sqrt{50}+2sqrt{72}-3sqrt{2}=

$$\sqrt { 50 } + 2 \sqrt { 72 } - 3 \sqrt { 2 } =$$

Evalwa

$$14\sqrt{2}\approx 19.798989873$$

Passi tas-Soluzzjonijiet

Iffattura 50=5^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{5^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 5^{2}.

$$5\sqrt{2}+2\sqrt{72}-3\sqrt{2}$$

Iffattura 72=6^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{6^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{6^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 6^{2}.

$$5\sqrt{2}+2\times 6\sqrt{2}-3\sqrt{2}$$

Immultiplika 2 u 6 biex tikseb 12.

$$5\sqrt{2}+12\sqrt{2}-3\sqrt{2}$$

Ikkombina 5\sqrt{2} u 12\sqrt{2} biex tikseb 17\sqrt{2}.

$$17\sqrt{2}-3\sqrt{2}$$

Ikkombina 17\sqrt{2} u -3\sqrt{2} biex tikseb 14\sqrt{2}.

$$14\sqrt{2}$$