Issolvi frac{408*frac{sqrt{3}}{2}}{frac{sqrt{2}}{2}}

$$\frac{ 408 \times \frac{ \sqrt{ 3 } }{ 2 } }{ \frac{ \sqrt{ 2 } }{ 2 } }$$

Evalwa

$$204\sqrt{6}\approx 499.695907528$$

Passi tas-Soluzzjonijiet

Ikkanċella l-akbar fattur komuni 2 f'408 u 2.

$$\frac{204\sqrt{3}}{\frac{\sqrt{2}}{2}}$$

Iddividi 204\sqrt{3} b'\frac{\sqrt{2}}{2} billi timmultiplika 204\sqrt{3} bir-reċiproku ta' \frac{\sqrt{2}}{2}.

$$\frac{204\sqrt{3}\times 2}{\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{204\sqrt{3}\times 2}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{204\sqrt{3}\times 2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

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

$$\frac{204\sqrt{3}\times 2\sqrt{2}}{2}$$

Immultiplika 204 u 2 biex tikseb 408.

$$\frac{408\sqrt{3}\sqrt{2}}{2}$$

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

$$\frac{408\sqrt{6}}{2}$$

Iddividi 408\sqrt{6} b'2 biex tikseb204\sqrt{6}.

$$204\sqrt{6}$$