Issolvi 36/5/{left(-frac{5{8}right)}^-1}+sqrt{27/16-1/8}-frac{13}{4}

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

Evalwa

$$-\frac{13}{2}=-6.5$$

Passi tas-Soluzzjonijiet

Ikkalkula -\frac{5}{8} bil-power ta' -1 u tikseb -\frac{8}{5}.

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

Iddividi \frac{36}{5} b'-\frac{8}{5} billi timmultiplika \frac{36}{5} bir-reċiproku ta' -\frac{8}{5}.

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

Immultiplika \frac{36}{5} u -\frac{5}{8} biex tikseb -\frac{9}{2}.

$$-\frac{9}{2}+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

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

$$-\frac{9}{2}+\sqrt{\frac{25}{16}}-\frac{13}{4}$$

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.

$$-\frac{9}{2}+\frac{5}{4}-\frac{13}{4}$$

Żid -\frac{9}{2} u \frac{5}{4} biex tikseb -\frac{13}{4}.

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

Naqqas \frac{13}{4} minn -\frac{13}{4} biex tikseb -\frac{13}{2}.

$$-\frac{13}{2}$$

Fattur

$$-\frac{13}{2} = -6\frac{1}{2} = -6.5$$