Issolvi sqrt{11/25}+3sqrt{71/9}-0.6sqrt{3025}

$$\sqrt { \frac { 11 } { 25 } } + 3 \sqrt { \frac { 71 } { 9 } } - 0.6 \sqrt { 3025 }$$

Evalwa

$$\frac{\sqrt{11}}{5}+\sqrt{71}-33\approx -23.910525269$$

Passi Qosra tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{11}{25}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{11}}{\sqrt{25}}.

$$\frac{\sqrt{11}}{\sqrt{25}}+3\sqrt{\frac{71}{9}}-0.6\sqrt{3025}$$

Ikkalkula l-għerq kwadrat ta' 25 u ikseb 5.

$$\frac{\sqrt{11}}{5}+3\sqrt{\frac{71}{9}}-0.6\sqrt{3025}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{71}{9}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{71}}{\sqrt{9}}.

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{\sqrt{9}}-0.6\sqrt{3025}$$

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

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{3}-0.6\sqrt{3025}$$

Annulla 3 u 3.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-0.6\sqrt{3025}$$

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

$$\frac{\sqrt{11}}{5}+\sqrt{71}-0.6\times 55$$

Immultiplika -0.6 u 55 biex tikseb -33.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-33$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika \sqrt{71}-33 b'\frac{5}{5}.

$$\frac{\sqrt{11}}{5}+\frac{5\left(\sqrt{71}-33\right)}{5}$$

Billi \frac{\sqrt{11}}{5} u \frac{5\left(\sqrt{71}-33\right)}{5} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\sqrt{11}+5\left(\sqrt{71}-33\right)}{5}$$

Agħmel il-multiplikazzjonijiet fi \sqrt{11}+5\left(\sqrt{71}-33\right).

$$\frac{\sqrt{11}+5\sqrt{71}-165}{5}$$