Issolvi left(1+3sqrt{2}right)-4-sqrt{50}

$$\left( 1+3 \sqrt{ 2 } \right) -4- \sqrt{ 50 }$$

Evalwa

$$-2\sqrt{2}-3\approx -5.828427125$$

Passi tas-Soluzzjonijiet

Naqqas 4 minn 1 biex tikseb -3.

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

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}.

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

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

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