Issolvi 3/5*frac{sqrt{2}}{2}--4/5*frac{sqrt{2}}{2}

$$\frac{ 3 }{ 5 } \times \frac{ \sqrt{ 2 } }{ 2 } -- \frac{ 4 }{ 5 } \times \frac{ \sqrt{ 2 } }{ 2 }$$

Evalwa

$$\frac{7\sqrt{2}}{10}\approx 0.989949494$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{3}{5} b'\frac{\sqrt{2}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{3\sqrt{2}}{5\times 2}-\left(-\frac{4}{5}\times \frac{\sqrt{2}}{2}\right)$$

Immultiplika -\frac{4}{5} b'\frac{\sqrt{2}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{3\sqrt{2}}{5\times 2}-\frac{-4\sqrt{2}}{5\times 2}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{3\sqrt{2}}{5\times 2}-\frac{-2\sqrt{2}}{5}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 5\times 2 u 5 huwa 2\times 5. Immultiplika \frac{-2\sqrt{2}}{5} b'\frac{2}{2}.

$$\frac{3\sqrt{2}}{2\times 5}-\frac{2\left(-2\right)\sqrt{2}}{2\times 5}$$

Billi \frac{3\sqrt{2}}{2\times 5} u \frac{2\left(-2\right)\sqrt{2}}{2\times 5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{3\sqrt{2}-2\left(-2\right)\sqrt{2}}{2\times 5}$$

Agħmel il-multiplikazzjonijiet fi 3\sqrt{2}-2\left(-2\right)\sqrt{2}.

$$\frac{3\sqrt{2}+4\sqrt{2}}{2\times 5}$$

Agħmel il-kalkoli fi 3\sqrt{2}+4\sqrt{2}.

$$\frac{7\sqrt{2}}{2\times 5}$$

Espandi 2\times 5.

$$\frac{7\sqrt{2}}{10}$$