Issolvi 3sqrt{18}-11sqrt{2}+2sqrt{50}

$$3 \sqrt { 18 } - 11 \sqrt { 2 } + 2 \sqrt { 50 }$$

Evalwa

$$8\sqrt{2}\approx 11.313708499$$

Passi tas-Soluzzjonijiet

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}.

$$3\times 3\sqrt{2}-11\sqrt{2}+2\sqrt{50}$$

Immultiplika 3 u 3 biex tikseb 9.

$$9\sqrt{2}-11\sqrt{2}+2\sqrt{50}$$

Ikkombina 9\sqrt{2} u -11\sqrt{2} biex tikseb -2\sqrt{2}.

$$-2\sqrt{2}+2\sqrt{50}$$

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}.

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

Immultiplika 2 u 5 biex tikseb 10.

$$-2\sqrt{2}+10\sqrt{2}$$

Ikkombina -2\sqrt{2} u 10\sqrt{2} biex tikseb 8\sqrt{2}.

$$8\sqrt{2}$$