Issolvi (sqrt{24}-sqrt{54})*1/56

$$( \sqrt { 24 } - \sqrt { 54 } ) \times \frac { 1 } { 56 }$$

Evalwa

$$-\frac{\sqrt{6}}{56}\approx -0.043740888$$

Passi tas-Soluzzjonijiet

Iffattura 24=2^{2}\times 6. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 6} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{6}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\left(2\sqrt{6}-\sqrt{54}\right)\times \frac{1}{56}$$

Iffattura 54=3^{2}\times 6. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 6} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{6}. Ħu l-għerq kwadrat ta' 3^{2}.

$$\left(2\sqrt{6}-3\sqrt{6}\right)\times \frac{1}{56}$$

Ikkombina 2\sqrt{6} u -3\sqrt{6} biex tikseb -\sqrt{6}.

$$-\sqrt{6}\times \frac{1}{56}$$

Immultiplika -1 u \frac{1}{56} biex tikseb -\frac{1}{56}.

$$-\frac{1}{56}\sqrt{6}$$