Issolvi sqrt{111/25}+3sqrt{11/9}-0.6sqrt{3025}

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

Evalwa

$$\sqrt{11}-31.8\approx -28.48337521$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 25 biex tikseb 25.

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

Żid 25 u 11 biex tikseb 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{11}{9}}-0.6\sqrt{3025}$$

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.

$$\frac{6}{5}+3\sqrt{\frac{11}{9}}-0.6\sqrt{3025}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{11}{9}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{11}}{\sqrt{9}}.

$$\frac{6}{5}+3\times \frac{\sqrt{11}}{\sqrt{9}}-0.6\sqrt{3025}$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

$$\frac{6}{5}+3\times \frac{\sqrt{11}}{3}-0.6\sqrt{3025}$$

Annulla 3 u 3.

$$\frac{6}{5}+\sqrt{11}-0.6\sqrt{3025}$$

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

$$\frac{6}{5}+\sqrt{11}-0.6\times 55$$

Immultiplika -0.6 u 55 biex tikseb -33.

$$\frac{6}{5}+\sqrt{11}-33$$

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

$$\frac{6}{5}+\sqrt{11}-\frac{165}{5}$$

Billi \frac{6}{5} u \frac{165}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{6-165}{5}+\sqrt{11}$$

Naqqas 165 minn 6 biex tikseb -159.

$$-\frac{159}{5}+\sqrt{11}$$