Issolvi sqrt{8}-(1-sqrt{2})

$$\sqrt { 8 } - ( 1 - \sqrt { 2 } )$$

Evalwa

$$3\sqrt{2}-1\approx 3.242640687$$

Passi tas-Soluzzjonijiet

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$2\sqrt{2}-\left(1-\sqrt{2}\right)$$

Biex issib l-oppost ta' 1-\sqrt{2}, sib l-oppost ta' kull terminu.

$$2\sqrt{2}-1-\left(-\sqrt{2}\right)$$

L-oppost ta' -\sqrt{2} huwa \sqrt{2}.

$$2\sqrt{2}-1+\sqrt{2}$$

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

$$3\sqrt{2}-1$$