Issolvi 22/7*75/2*sqrt{6850/4}

$$\frac{ 22 }{ 7 } \times \frac{ 75 }{ 2 } \times \sqrt{ \frac{ 6850 }{ 4 } }$$

Evalwa

$$\frac{4125\sqrt{274}}{14}\approx 4877.207114189$$

Passi tas-Soluzzjonijiet

Immultiplika \frac{22}{7} b'\frac{75}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{22\times 75}{7\times 2}\sqrt{\frac{6850}{4}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{22\times 75}{7\times 2}.

$$\frac{1650}{14}\sqrt{\frac{6850}{4}}$$

Naqqas il-frazzjoni \frac{1650}{14} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{825}{7}\sqrt{\frac{6850}{4}}$$

Naqqas il-frazzjoni \frac{6850}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{825}{7}\sqrt{\frac{3425}{2}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{3425}{2}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{3425}}{\sqrt{2}}.

$$\frac{825}{7}\times \frac{\sqrt{3425}}{\sqrt{2}}$$

Iffattura 3425=5^{2}\times 137. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5^{2}\times 137} bħala l-prodott tal-għeruq kwadrati \sqrt{5^{2}}\sqrt{137}. Ħu l-għerq kwadrat ta' 5^{2}.

$$\frac{825}{7}\times \frac{5\sqrt{137}}{\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{5\sqrt{137}}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{825}{7}\times \frac{5\sqrt{137}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

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

$$\frac{825}{7}\times \frac{5\sqrt{137}\sqrt{2}}{2}$$

Biex timmultiplika \sqrt{137} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{825}{7}\times \frac{5\sqrt{274}}{2}$$

Immultiplika \frac{825}{7} b'\frac{5\sqrt{274}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{825\times 5\sqrt{274}}{7\times 2}$$

Immultiplika 825 u 5 biex tikseb 4125.

$$\frac{4125\sqrt{274}}{7\times 2}$$

Immultiplika 7 u 2 biex tikseb 14.

$$\frac{4125\sqrt{274}}{14}$$