Issolvi frac{2-frac{2sqrt{30}}{5}}{2/5}

$$\frac { 2 - \frac { 2 \sqrt { 30 } } { 5 } } { \frac { 2 } { 5 } }$$

Evalwa

$$5-\sqrt{30}\approx -0.477225575$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 2 b'\frac{5}{5}.

$$\frac{\frac{2\times 5}{5}-\frac{2\sqrt{30}}{5}}{\frac{2}{5}}$$

Billi \frac{2\times 5}{5} u \frac{2\sqrt{30}}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{2\times 5-2\sqrt{30}}{5}}{\frac{2}{5}}$$

Agħmel il-multiplikazzjonijiet fi 2\times 5-2\sqrt{30}.

$$\frac{\frac{10-2\sqrt{30}}{5}}{\frac{2}{5}}$$

Iddividi \frac{10-2\sqrt{30}}{5} b'\frac{2}{5} billi timmultiplika \frac{10-2\sqrt{30}}{5} bir-reċiproku ta' \frac{2}{5}.

$$\frac{\left(10-2\sqrt{30}\right)\times 5}{5\times 2}$$

Annulla 5 fin-numeratur u d-denominatur.

$$\frac{-2\sqrt{30}+10}{2}$$

Iddividi kull terminu ta' -2\sqrt{30}+10 b'2 biex tikseb5-\sqrt{30}.

$$5-\sqrt{30}$$

Fattur

$$5-\sqrt{30}$$