Issolvi 156div95*141*sqrt{4/314}*2=

$$156 \div 95 \times 141 \times \sqrt{ \frac{ 4 }{ 314 } } \times 2=$$

Evalwa

$$\frac{43992\sqrt{314}}{14915}\approx 52.265519684$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 141 biex tikseb 282.

$$282\times \frac{156}{95}\sqrt{\frac{4}{314}}$$

Esprimi 282\times \frac{156}{95} bħala frazzjoni waħda.

$$\frac{282\times 156}{95}\sqrt{\frac{4}{314}}$$

Immultiplika 282 u 156 biex tikseb 43992.

$$\frac{43992}{95}\sqrt{\frac{4}{314}}$$

Naqqas il-frazzjoni \frac{4}{314} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{43992}{95}\sqrt{\frac{2}{157}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{2}{157}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{2}}{\sqrt{157}}.

$$\frac{43992}{95}\times \frac{\sqrt{2}}{\sqrt{157}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{2}}{\sqrt{157}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{157}.

$$\frac{43992}{95}\times \frac{\sqrt{2}\sqrt{157}}{\left(\sqrt{157}\right)^{2}}$$

Il-kwadrat ta' \sqrt{157} huwa 157.

$$\frac{43992}{95}\times \frac{\sqrt{2}\sqrt{157}}{157}$$

Biex timmultiplika \sqrt{2} u \sqrt{157}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{43992}{95}\times \frac{\sqrt{314}}{157}$$

Immultiplika \frac{43992}{95} b'\frac{\sqrt{314}}{157} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{43992\sqrt{314}}{95\times 157}$$

Immultiplika 95 u 157 biex tikseb 14915.

$$\frac{43992\sqrt{314}}{14915}$$