Issolvi 36/5:(-5/6)^-1+sqrt{27/16-1/8}-frac{13}{4}=

$$\frac { 36 } { 5 } : ( - \frac { 5 } { 6 } ) ^ { - 1 } + \sqrt { \frac { 27 } { 16 } - \frac { 1 } { 8 } } - \frac { 13 } { 4 } =$$

Evalwa

$$-8$$

Passi tas-Soluzzjonijiet

Ikkalkula -\frac{5}{6} bil-power ta' -1 u tikseb -\frac{6}{5}.

$$\frac{\frac{36}{5}}{-\frac{6}{5}}+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Iddividi \frac{36}{5} b'-\frac{6}{5} billi timmultiplika \frac{36}{5} bir-reċiproku ta' -\frac{6}{5}.

$$\frac{36}{5}\left(-\frac{5}{6}\right)+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Immultiplika \frac{36}{5} u -\frac{5}{6} biex tikseb -6.

$$-6+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Naqqas \frac{1}{8} minn \frac{27}{16} biex tikseb \frac{25}{16}.

$$-6+\sqrt{\frac{25}{16}}-\frac{13}{4}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{25}{16} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{25}}{\sqrt{16}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$-6+\frac{5}{4}-\frac{13}{4}$$

Żid -6 u \frac{5}{4} biex tikseb -\frac{19}{4}.

$$-\frac{19}{4}-\frac{13}{4}$$

Naqqas \frac{13}{4} minn -\frac{19}{4} biex tikseb -8.

$$-8$$

Fattur

$$-8$$