Issolvi 1-1/sqrt{2}+1/2

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

Evalwa

$$\frac{3-\sqrt{2}}{2}\approx 0.792893219$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{1}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

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

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

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

Ikkonverti 1 fi frazzjoni \frac{2}{2}.

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

Billi \frac{2}{2} u \frac{1}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 2 u 1 biex tikseb 3.

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

Billi \frac{3}{2} u \frac{\sqrt{2}}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{3+\sqrt{2}}{2}$$

Fattur

$$\frac{3 - \sqrt{2}}{2} = 0.7928932188134524$$