Issolvi (sqrt{82}-sqrt{2})*sqrt{2}

$$( \sqrt { 82 } - \sqrt { 2 } ) \cdot \sqrt { 2 }$$

Evalwa

$$2\left(\sqrt{41}-1\right)\approx 10.806248475$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \sqrt{82}-\sqrt{2} b'\sqrt{2}.

$$\sqrt{82}\sqrt{2}-\left(\sqrt{2}\right)^{2}$$

Iffattura 82=2\times 41. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 41} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{41}.

$$\sqrt{2}\sqrt{41}\sqrt{2}-\left(\sqrt{2}\right)^{2}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$2\sqrt{41}-\left(\sqrt{2}\right)^{2}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$2\sqrt{41}-2$$