Issolvi 50*10*sqrt{3/2}

$$50 \times 10 \times \sqrt{ \frac{ 3 }{ 2 } }$$

Evalwa

$$250\sqrt{6}\approx 612.372435696$$

Passi tas-Soluzzjonijiet

Immultiplika 10 u 50 biex tikseb 500.

$$500\sqrt{\frac{3}{2}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{3}{2}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{3}}{\sqrt{2}}.

$$500\times \frac{\sqrt{3}}{\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{3}}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$500\times \frac{\sqrt{3}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

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

$$500\times \frac{\sqrt{3}\sqrt{2}}{2}$$

Biex timmultiplika \sqrt{3} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$500\times \frac{\sqrt{6}}{2}$$

Ikkanċella l-akbar fattur komuni 2 f'500 u 2.

$$250\sqrt{6}$$