Issolvi sqrt{111/25}+3sqrt{71/9}-06sqrt{3025}

$$\sqrt{ 1 \frac{ 11 }{ 25 } } +3 \sqrt{ 7 \frac{ 1 }{ 9 } } -06 \sqrt{ 3025 }$$

Evalwa

$$\frac{46}{5}=9.2$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 25 biex tikseb 25.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

Żid 25 u 11 biex tikseb 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

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.

$$\frac{6}{5}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

Immultiplika 7 u 9 biex tikseb 63.

$$\frac{6}{5}+3\sqrt{\frac{63+1}{9}}-0\times 6\sqrt{3025}$$

Żid 63 u 1 biex tikseb 64.

$$\frac{6}{5}+3\sqrt{\frac{64}{9}}-0\times 6\sqrt{3025}$$

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.

$$\frac{6}{5}+3\times \frac{8}{3}-0\times 6\sqrt{3025}$$

Annulla 3 u 3.

$$\frac{6}{5}+8-0\times 6\sqrt{3025}$$

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

$$\frac{6}{5}+\frac{40}{5}-0\times 6\sqrt{3025}$$

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

$$\frac{6+40}{5}-0\times 6\sqrt{3025}$$

Żid 6 u 40 biex tikseb 46.

$$\frac{46}{5}-0\times 6\sqrt{3025}$$

Immultiplika 0 u 6 biex tikseb 0.

$$\frac{46}{5}-0\sqrt{3025}$$

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

$$\frac{46}{5}-0\times 55$$

Immultiplika 0 u 55 biex tikseb 0.

$$\frac{46}{5}-0$$

Naqqas 0 minn \frac{46}{5} biex tikseb \frac{46}{5}.

$$\frac{46}{5}$$

Fattur

$$\frac{2 \cdot 23}{5} = 9\frac{1}{5} = 9.2$$