Issolvi frac{sqrt{2}+10/3}{6/5}

$$\frac { \sqrt { 2 } + \frac { 10 } { 3 } } { \frac { 6 } { 5 } }$$

Evalwa

$$\frac{5\sqrt{2}}{6}+\frac{25}{9}\approx 3.95628908$$

Passi tas-Soluzzjonijiet

Iddividi \sqrt{2}+\frac{10}{3} b'\frac{6}{5} billi timmultiplika \sqrt{2}+\frac{10}{3} bir-reċiproku ta' \frac{6}{5}.

$$\frac{\left(\sqrt{2}+\frac{10}{3}\right)\times 5}{6}$$

Uża l-propjetà distributtiva biex timmultiplika \sqrt{2}+\frac{10}{3} b'5.

$$\frac{5\sqrt{2}+\frac{10}{3}\times 5}{6}$$

Esprimi \frac{10}{3}\times 5 bħala frazzjoni waħda.

$$\frac{5\sqrt{2}+\frac{10\times 5}{3}}{6}$$

Immultiplika 10 u 5 biex tikseb 50.

$$\frac{5\sqrt{2}+\frac{50}{3}}{6}$$

Fattur

$$\frac{5 {(3 \sqrt{2} + 10)}}{18} = 3.956289079755357$$