Issolvi frac{sqrt{32}}{3}-frac{sqrt{8}}{5}

$$\frac { \sqrt { 32 } } { 3 } - \frac { \sqrt { 8 } } { 5 }$$

Evalwa

$$\frac{14\sqrt{2}}{15}\approx 1.319932658$$

Passi tas-Soluzzjonijiet

Iffattura 32=4^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 4^{2}.

$$\frac{4\sqrt{2}}{3}-\frac{\sqrt{8}}{5}$$

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

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

Ikkombina \frac{4\sqrt{2}}{3} u -\frac{2\sqrt{2}}{5} biex tikseb \frac{14}{15}\sqrt{2}.

$$\frac{14}{15}\sqrt{2}$$