Issolvi sqrt{75+(4.5^2+40)/6.5*10^4}

$$\sqrt { \frac { 75 + ( 4.5 ^ { 2 } + 40 ) } { 6.5 \times 10 ^ { 4 } } }$$

Evalwa

$$\frac{\sqrt{14066}}{2600}\approx 0.045615449$$

Passi tas-Soluzzjonijiet

Ikkalkula 4.5 bil-power ta' 2 u tikseb 20.25.

$$\sqrt{\frac{75+20.25+40}{6.5\times 10^{4}}}$$

Żid 75 u 20.25 biex tikseb 95.25.

$$\sqrt{\frac{95.25+40}{6.5\times 10^{4}}}$$

Żid 95.25 u 40 biex tikseb 135.25.

$$\sqrt{\frac{135.25}{6.5\times 10^{4}}}$$

Ikkalkula 10 bil-power ta' 4 u tikseb 10000.

$$\sqrt{\frac{135.25}{6.5\times 10000}}$$

Immultiplika 6.5 u 10000 biex tikseb 65000.

$$\sqrt{\frac{135.25}{65000}}$$

Espandi \frac{135.25}{65000} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\sqrt{\frac{13525}{6500000}}$$

Naqqas il-frazzjoni \frac{13525}{6500000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 25.

$$\sqrt{\frac{541}{260000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{541}{260000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{541}}{\sqrt{260000}}.

$$\frac{\sqrt{541}}{\sqrt{260000}}$$

Iffattura 260000=100^{2}\times 26. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{100^{2}\times 26} bħala l-prodott tal-għeruq kwadrati \sqrt{100^{2}}\sqrt{26}. Ħu l-għerq kwadrat ta' 100^{2}.

$$\frac{\sqrt{541}}{100\sqrt{26}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{541}}{100\sqrt{26}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{26}.

$$\frac{\sqrt{541}\sqrt{26}}{100\left(\sqrt{26}\right)^{2}}$$

Il-kwadrat ta' \sqrt{26} huwa 26.

$$\frac{\sqrt{541}\sqrt{26}}{100\times 26}$$

Biex timmultiplika \sqrt{541} u \sqrt{26}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{14066}}{100\times 26}$$

Immultiplika 100 u 26 biex tikseb 2600.

$$\frac{\sqrt{14066}}{2600}$$