Issolvi sqrt{2*163/97864}

$$\sqrt{ \frac{ 2 \times 163 }{ 97864 } }$$

Evalwa

$$\frac{\sqrt{1993979}}{24466}\approx 0.057716145$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 163 biex tikseb 326.

$$\sqrt{\frac{326}{97864}}$$

Naqqas il-frazzjoni \frac{326}{97864} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\sqrt{\frac{163}{48932}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{163}{48932}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{163}}{\sqrt{48932}}.

$$\frac{\sqrt{163}}{\sqrt{48932}}$$

Iffattura 48932=2^{2}\times 12233. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 12233} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{12233}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{\sqrt{163}}{2\sqrt{12233}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{163}}{2\sqrt{12233}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{12233}.

$$\frac{\sqrt{163}\sqrt{12233}}{2\left(\sqrt{12233}\right)^{2}}$$

Il-kwadrat ta' \sqrt{12233} huwa 12233.

$$\frac{\sqrt{163}\sqrt{12233}}{2\times 12233}$$

Biex timmultiplika \sqrt{163} u \sqrt{12233}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{1993979}}{2\times 12233}$$

Immultiplika 2 u 12233 biex tikseb 24466.

$$\frac{\sqrt{1993979}}{24466}$$