Issolvi sqrt{(1400-83*9.8)*52/83}

$$\sqrt { \frac { ( 1400 - 83 \times 9.8 ) \times 52 } { 83 } }$$

Evalwa

$$\frac{2\sqrt{15823535}}{415}\approx 19.17050948$$

Passi tas-Soluzzjonijiet

Immultiplika 83 u 9.8 biex tikseb 813.4.

$$\sqrt{\frac{\left(1400-813.4\right)\times 52}{83}}$$

Naqqas 813.4 minn 1400 biex tikseb 586.6.

$$\sqrt{\frac{586.6\times 52}{83}}$$

Immultiplika 586.6 u 52 biex tikseb 30503.2.

$$\sqrt{\frac{30503.2}{83}}$$

Espandi \frac{30503.2}{83} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\sqrt{\frac{305032}{830}}$$

Naqqas il-frazzjoni \frac{305032}{830} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\sqrt{\frac{152516}{415}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{152516}{415}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{152516}}{\sqrt{415}}.

$$\frac{\sqrt{152516}}{\sqrt{415}}$$

Iffattura 152516=2^{2}\times 38129. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 38129} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{38129}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{2\sqrt{38129}}{\sqrt{415}}$$

Irrazzjonalizza d-denominatur tal-\frac{2\sqrt{38129}}{\sqrt{415}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{415}.

$$\frac{2\sqrt{38129}\sqrt{415}}{\left(\sqrt{415}\right)^{2}}$$

Il-kwadrat ta' \sqrt{415} huwa 415.

$$\frac{2\sqrt{38129}\sqrt{415}}{415}$$

Biex timmultiplika \sqrt{38129} u \sqrt{415}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{2\sqrt{15823535}}{415}$$