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

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

Evalwa

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

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}.

$$3\times 5\sqrt{2}-2\sqrt{18}-\sqrt{2}$$

Immultiplika 3 u 5 biex tikseb 15.

$$15\sqrt{2}-2\sqrt{18}-\sqrt{2}$$

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}.

$$15\sqrt{2}-2\times 3\sqrt{2}-\sqrt{2}$$

Immultiplika -2 u 3 biex tikseb -6.

$$15\sqrt{2}-6\sqrt{2}-\sqrt{2}$$

Ikkombina 15\sqrt{2} u -6\sqrt{2} biex tikseb 9\sqrt{2}.

$$9\sqrt{2}-\sqrt{2}$$

Ikkombina 9\sqrt{2} u -\sqrt{2} biex tikseb 8\sqrt{2}.

$$8\sqrt{2}$$