Issolvi (frac{sqrt{52}9-4^3-3}{4^2})-[52(2)/23]

$$( \frac { \sqrt { 52 } 9 - 4 ^ { 3 } - 3 } { 4 ^ { 2 } } ) - [ \frac { 52 ( 2 ) } { 23 } ]$$

Evalwa

$$\frac{9\sqrt{13}}{8}-\frac{3205}{368}\approx -4.652993946$$

Passi Qosra tas-Soluzzjonijiet

Iffattura 52=2^{2}\times 13. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 13} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{13}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{9\times 2\sqrt{13}-4^{3}-3}{4^{2}}-\frac{52\times 2}{23}$$

Immultiplika 9 u 2 biex tikseb 18.

$$\frac{18\sqrt{13}-4^{3}-3}{4^{2}}-\frac{52\times 2}{23}$$

Ikkalkula 4 bil-power ta' 3 u tikseb 64.

$$\frac{18\sqrt{13}-64-3}{4^{2}}-\frac{52\times 2}{23}$$

Naqqas 3 minn -64 biex tikseb -67.

$$\frac{18\sqrt{13}-67}{4^{2}}-\frac{52\times 2}{23}$$

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

$$\frac{18\sqrt{13}-67}{16}-\frac{52\times 2}{23}$$

Immultiplika 52 u 2 biex tikseb 104.

$$\frac{18\sqrt{13}-67}{16}-\frac{104}{23}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 16 u 23 huwa 368. Immultiplika \frac{18\sqrt{13}-67}{16} b'\frac{23}{23}. Immultiplika \frac{104}{23} b'\frac{16}{16}.

$$\frac{23\left(18\sqrt{13}-67\right)}{368}-\frac{104\times 16}{368}$$

Billi \frac{23\left(18\sqrt{13}-67\right)}{368} u \frac{104\times 16}{368} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{23\left(18\sqrt{13}-67\right)-104\times 16}{368}$$

Agħmel il-multiplikazzjonijiet fi 23\left(18\sqrt{13}-67\right)-104\times 16.

$$\frac{414\sqrt{13}-1541-1664}{368}$$

Agħmel il-kalkoli fi 414\sqrt{13}-1541-1664.

$$\frac{414\sqrt{13}-3205}{368}$$

Fattur

$$\frac{414 \sqrt{13} - 3205}{368} = -4.652993945537795$$