Issolvi sqrt{[(1.3)^{2}-(0.7)^{2}+3.2]^2:11^2*5+[(2.8)^2-0.23]*10^2}

$$\sqrt { [ ( 1.3 ) ^ { 2 } - ( 0.7 ) ^ { 2 } + 3.2 ] ^ { 2 } : 11 ^ { 2 } \cdot 5 + [ ( 2.8 ) ^ { 2 } - 0.23 ] \cdot 10 ^ { 2 } }$$

Evalwa

$$\frac{\sqrt{19045}}{5}\approx 27.600724628$$

Passi tas-Soluzzjonijiet

Ikkalkula 1.3 bil-power ta' 2 u tikseb 1.69.

$$\sqrt{\frac{\left(1.69-0.7^{2}+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Ikkalkula 0.7 bil-power ta' 2 u tikseb 0.49.

$$\sqrt{\frac{\left(1.69-0.49+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Naqqas 0.49 minn 1.69 biex tikseb 1.2.

$$\sqrt{\frac{\left(1.2+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Żid 1.2 u 3.2 biex tikseb 4.4.

$$\sqrt{\frac{4.4^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Ikkalkula 4.4 bil-power ta' 2 u tikseb 19.36.

$$\sqrt{\frac{19.36}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Ikkalkula 11 bil-power ta' 2 u tikseb 121.

$$\sqrt{\frac{19.36}{121}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Espandi \frac{19.36}{121} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\sqrt{\frac{1936}{12100}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Naqqas il-frazzjoni \frac{1936}{12100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 484.

$$\sqrt{\frac{4}{25}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Immultiplika \frac{4}{25} u 5 biex tikseb \frac{4}{5}.

$$\sqrt{\frac{4}{5}+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Ikkalkula 2.8 bil-power ta' 2 u tikseb 7.84.

$$\sqrt{\frac{4}{5}+\left(7.84-0.23\right)\times 10^{2}}$$

Naqqas 0.23 minn 7.84 biex tikseb 7.61.

$$\sqrt{\frac{4}{5}+7.61\times 10^{2}}$$

Ikkalkula 10 bil-power ta' 2 u tikseb 100.

$$\sqrt{\frac{4}{5}+7.61\times 100}$$

Immultiplika 7.61 u 100 biex tikseb 761.

$$\sqrt{\frac{4}{5}+761}$$

Żid \frac{4}{5} u 761 biex tikseb \frac{3809}{5}.

$$\sqrt{\frac{3809}{5}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{3809}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{3809}}{\sqrt{5}}.

$$\frac{\sqrt{3809}}{\sqrt{5}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{3809}}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{\sqrt{3809}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{\sqrt{3809}\sqrt{5}}{5}$$

Biex timmultiplika \sqrt{3809} u \sqrt{5}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{19045}}{5}$$