Issolvi sqrt{111/25}+3sqrt{71/9}-0.6sqrt{3025}

$$\sqrt{ 1 \frac{ 11 }{ 25 } } +3 \sqrt{ 7 \frac{ 1 }{ 9 } } -0.6 \sqrt{ 3025 }$$

Evalwa

$$-23.8$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 25 biex tikseb 25.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{3025}$$

Żid 25 u 11 biex tikseb 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{3025}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{36}{25} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{36}}{\sqrt{25}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$\frac{6}{5}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{3025}$$

Immultiplika 7 u 9 biex tikseb 63.

$$\frac{6}{5}+3\sqrt{\frac{63+1}{9}}-0.6\sqrt{3025}$$

Żid 63 u 1 biex tikseb 64.

$$\frac{6}{5}+3\sqrt{\frac{64}{9}}-0.6\sqrt{3025}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{64}{9} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{64}}{\sqrt{9}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$\frac{6}{5}+3\times \frac{8}{3}-0.6\sqrt{3025}$$

Annulla 3 u 3.

$$\frac{6}{5}+8-0.6\sqrt{3025}$$

Ikkonverti 8 fi frazzjoni \frac{40}{5}.

$$\frac{6}{5}+\frac{40}{5}-0.6\sqrt{3025}$$

Billi \frac{6}{5} u \frac{40}{5} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{6+40}{5}-0.6\sqrt{3025}$$

Żid 6 u 40 biex tikseb 46.

$$\frac{46}{5}-0.6\sqrt{3025}$$

Ikkalkula l-għerq kwadrat ta' 3025 u ikseb 55.

$$\frac{46}{5}-0.6\times 55$$

Immultiplika -0.6 u 55 biex tikseb -33.

$$\frac{46}{5}-33$$

Ikkonverti 33 fi frazzjoni \frac{165}{5}.

$$\frac{46}{5}-\frac{165}{5}$$

Billi \frac{46}{5} u \frac{165}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{46-165}{5}$$

Naqqas 165 minn 46 biex tikseb -119.

$$-\frac{119}{5}$$

Fattur

$$-23.8$$