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

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

Aromātai

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

Ngā Hipanga Rongoā Poto

Tauwehea te 52=2^{2}\times 13. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 13} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{13}. Tuhia te pūtakerua o te 2^{2}.

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

Whakareatia te 9 ki te 2, ka 18.

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

Tātaihia te 4 mā te pū o 3, kia riro ko 64.

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

Tangohia te 3 i te -64, ka -67.

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

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

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

Whakareatia te 52 ki te 2, ka 104.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 16 me 23 ko 368. Whakareatia \frac{18\sqrt{13}-67}{16} ki te \frac{23}{23}. Whakareatia \frac{104}{23} ki te \frac{16}{16}.

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

Tā te mea he rite te tauraro o \frac{23\left(18\sqrt{13}-67\right)}{368} me \frac{104\times 16}{368}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o 23\left(18\sqrt{13}-67\right)-104\times 16.

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

Mahia ngā tātaitai i roto o 414\sqrt{13}-1541-1664.

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

Tauwehe

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