Issolvi frac{3sqrt{10}}{10}frac{sqrt{5}}{5}+frac{sqrt{10}}{10}frac{2sqrt{5}}{5}

$$\frac{ 3 \sqrt{ 10 } }{ 10 } \frac{ \sqrt{ 5 } }{ 5 } + \frac{ \sqrt{ 10 } }{ 10 } \frac{ 2 \sqrt{ 5 } }{ 5 }$$

Evalwa

$$\frac{\sqrt{2}}{2}\approx 0.707106781$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{3\sqrt{10}}{10} b'\frac{\sqrt{5}}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{10}}{10}\times \frac{2\sqrt{5}}{5}$$

Immultiplika \frac{\sqrt{10}}{10} b'\frac{2\sqrt{5}}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{10}\times 2\sqrt{5}}{10\times 5}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{5}\sqrt{10}}{5\times 5}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Espandi 5\times 5.

$$\frac{3\sqrt{10}\sqrt{5}}{5\times 10}+\frac{\sqrt{5}\sqrt{10}}{5\times 10}$$

Billi \frac{3\sqrt{10}\sqrt{5}}{5\times 10} u \frac{\sqrt{5}\sqrt{10}}{5\times 10} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{3\sqrt{10}\sqrt{5}+\sqrt{5}\sqrt{10}}{5\times 10}$$

Agħmel il-multiplikazzjonijiet fi 3\sqrt{10}\sqrt{5}+\sqrt{5}\sqrt{10}.

$$\frac{15\sqrt{2}+5\sqrt{2}}{5\times 10}$$

Agħmel il-kalkoli fi 15\sqrt{2}+5\sqrt{2}.

$$\frac{20\sqrt{2}}{5\times 10}$$

Annulla 2\times 5 fin-numeratur u d-denominatur.

$$\frac{2\sqrt{2}}{5}$$